Chapter 9

Class 8 Mathematics · 124 questions · 105 with answers

Solved examples

example-1Multiple choice

A shirt with marked price Rs 800 was sold at Rs 680. The rate of discount allowed on the shirt is

  • (a)10%
  • (b)15%
  • (c)20%
  • (d)25%
Show solution

Solution : Correct answer is (b).

example-2Multiple choice

If % of a number is 42, then the number is

  • (a)9800
  • (b)8
  • (c)1800
  • (d)180
Show solution

Solution : Correct answer is (c).

example-3Multiple choice

If the cost price of 10 shirts is equal to the selling price of 8 shirts, then which of the following is true for the transaction?

  • (a)Profit of 25%
  • (b)Loss of 25%
  • (c)Profit of 20%
  • (d)Loss of 20%
Show solution

Solution : Correct answer is (a).

example-4Multiple choice

Rs 1600 lent at a compound interest of 5% per annum, compounded half yearly for one year will amount to:

  • (a)Rs 1640
  • (b)Rs 1680
  • (c)Rs 1681
  • (d)Rs 1764
Show solution

Solution: Correct answer is (c). In examples 5 to 7, fill in the blanks to make the statements true.

example-5Fill in the blanks

By selling 50 pens, a shopkeeper lost the amount equal to the selling price of 10 pens. His loss per cent is __________.

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Solution : %.

example-6Fill in the blanks

The discount per cent is calculated on the _________ price of an article.

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Solution : Marked Price.

example-7Fill in the blanks

Amna purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, then the selling price of the toy is _________.

Show solution

Solution : Rs 600. In examples 8 to 11, state whether the statements are true (T) or false (F).

example-8Short answer

When the interest is compounded half yearly, the number of conversion periods in a year is four.

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Solution : False.

example-9Short answer

Arnav buys a book costing Rs 600. If the rate of sales tax is 7%, then the total amount payable by him is Rs 642.

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Solution : True.

example-10Short answer

After allowing a discount of 15% on the marked price of an article, it is sold for Rs 680. The marked price of the article is Rs 800.

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Solution : True.

example-11Short answer

Overhead charges, if any, are sometimes included in the cost price.

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Solution : False.

example-12Short answer

A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per cent.

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Solution : Let the number be 100 Increase in the number = 20% of 100 = 20 So Increased number = 100 + 20 = 120 Decrease in the number = 20% of 120 = ×120 = 24 So new number = 120 – 24 = 96 Net decrease = 100 – 96 = 4 Hence net decrease per cent = ×100 = 4%.

example-13Short answer

Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280?

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Solution : Marked Price = Rs 280 Discount = 20% of Rs 280 = × 280 = Rs 56 So selling price = Rs (280 – 56) = Rs 224 Let the cost price be Rs 100 Profit = 12% of Rs 100 = Rs 12 So selling price = Rs (100 + 12) = Rs 112 If the selling price is Rs 112, cost price = Rs 100 100 If the selling price is Rs 224, cost price = Rs 224 112 = Rs 200.

example-14Short answer

Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half yearly.

Show solution

Solution : Principal (P) = Rs 48,000 Rate (R) = 8% p.a. Time (n) = 1 year Interest is compounded half yearly 2n R A = P 1 200 8 = 48,000 1 200 26 26 = 48,000 × × 25 25 = 76.8 × 26 × 26 = Rs 51,916.80 ThereforeCompound Interest = A – P = Rs (519,16.80 – 48,000) = Rs 3,916.80

example-15Multiple choice

Lemons were bought at Rs 60 a dozen and sold at the rate of Rs 40 per 10. Find the gain or loss percent. Understand and Explore the problem • What do you know? Cost of lemons per dozen : Rs 60 and S.P. of 10 lemons : Rs 40 Which other information is needed to solve the given problem? Gain/Loss Plan a Strategy • Change: either convert C.P. of 1 dozen into C.P. of 10 lemons or convert S.P. of 10 lemons into S.P. of 1 dozen • If C.P. > S.P. find Loss = C.P. – S.P. If S.P. > C.P. find gain = S.P. – C.P. If S.P. = C.P. No gain, No loss • If gain, find gain % If loss, find loss % Gain/Loss are always calculated on the basis of C.P. Solve • C.P. of 1 dozen lemons = Rs 60 C.P. of 1 lemon = Rs 5 C.P. of 10 lemons = Rs 50 • S.P. of 10 lemons Rs 40 • As S.P. < C.P. = Loss Loss = C.P. – S.P. = Rs 50 – Rs 40 = Rs 10 Loss • Loss = ×100% C.P. = ×100% = 20% Revise • Verify your answer by adopting Backward method i.e. Loss % = 20% Loss = 20% of 60 = ×60 = Rs 12 C.P. of 1 dozen = Rs 60 Loss on 1 dozen = Rs 12 S.P. = C.P – Loss = 60 – 12 = Rs 48 S.P. of 1 dozen = Rs 48 S.P. of 1 lemon = Rs = Rs 4 S.P. of 10 lemons = Rs 40 Hence verified.

  • (a)What would happen if C.P. of 1 dozen is Rs 48?
  • (b)What would happen if S.P. of 10 lemons is Rs 60? In questions 1 to 20, there are four options out of which one is correct. Write the correct answer.

Questions

Q1Multiple choice

Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities. (i) C > S (ii) C = S (iii) C < S Then

  • (a)only (i) is correct.
  • (b)either (i) or (ii) is correct.
  • (c)either (ii) or (iii) is correct.
  • (d)only (iii) is correct.
Show answer

(a) only (i) is correct.

Q2Multiple choice

Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R % rate of interest per annum compounded annually. We have

  • (a)r < R
  • (b)R < r
  • (c)R = r
  • (d)can’t be decided
Show answer

(b) R < r

Q3Multiple choice

The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is

  • (a)Rs 4,000
  • (b)Rs 4,080
  • (c)Rs 4,280
  • (d)Rs 4,050
Show answer

(b) Rs 4,080

Q4Multiple choice

If marked price of an article is Rs 1,200 and the discount is 12% then the selling price of the article is

  • (a)Rs 1,056
  • (b)Rs 1,344
  • (c)Rs 1,212
  • (d)Rs 1,188
Show answer

(a) Rs 1,056

Q5Multiple choice

If 90% of x is 315 km, then the value of x is

  • (a)325 km
  • (b)350 km
  • (c)350 m
  • (d)325 m
Show answer

(c) 350 m

Q6Multiple choice

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as

  • (a)Rs 500
  • (b)Rs 450
  • (c)Rs 460
  • (d)Rs 486
Show answer

(a) Rs 500

Q7Multiple choice

If a % is the discount per cent on a marked price x, then discount is x a a 100

  • (a)× 100
  • (b)× 100
  • (c)x ×
  • (d)a x 100 x a
Show answer

(c) x ×

Q8Multiple choice

Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half- yearly. She paid Rs 1,12,360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan is

  • (a)2 years
  • (b)1 year
  • (c)6 months
  • (d)1 years
Show answer

(b) 1 year

Q9Multiple choice

For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true.

  • (a)Double the given annual rate and half the given number of years.
  • (b)Double the given annual rate as well as the given number of years.
  • (c)Half the given annual rate as well as the given number of years.
  • (d)Half the given annual rate and double the given number of years.
Show answer

(d) Half the given annual rate and double the given number of years.

Q10Multiple choice

Shyama purchases a scooter costing Rs 36,450 and the rate of sales tax is 9%, then the total amount paid by her is

  • (a)Rs 36,490.50
  • (b)Rs 39,730.50
  • (c)Rs 36,454.50
  • (d)Rs 33,169.50
Show answer

(b) Rs 39,730.50

Q11Multiple choice

The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is

  • (a)5%
  • (b)95%
  • (c)10%
  • (d)appx. 11%
Show answer

(a) 5%

Q12Multiple choice

A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true:

  • (a)A and B earn the same profit. • The discount is the amount by which the regular price is reduced. • The sale price is the regular price minus the discount.
  • (b)A earns more profit than B.
  • (c)A earns less profit than B.
  • (d)Cannot be decided.
Show answer

(c) A earns less profit than B.

Q13Multiple choice

Latika bought a teapot for Rs 120 and a set of cups for Rs 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her is

  • (a)Rs 494
  • (b)Rs 546
  • (c)Rs 506
  • (d)Rs 534
Show answer

(c) Rs 506

Q14Multiple choice

A jacket was sold for Rs 1,120 after allowing a discount of 20%. The marked price of the jacket is

  • (a)Rs 1440
  • (b)Rs 1400
  • (c)Rs 960
  • (d)Rs 866.66
Show answer

(b) Rs 1400

Q15Multiple choice

A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is

  • (a)8
  • (b)4
  • (c)6
  • (d)9
Show answer

(a) 8

Q16Multiple choice

The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is

  • (a)Rs 12,420
  • (b)Rs 14,580
  • (c)Rs 12,500
  • (d)Rs 13,492
Show answer

(c) Rs 12,500

Q17Multiple choice

Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has a

  • (a)Profit of Rs 75
  • (b)Loss of Rs 75
  • (c)Profit of Rs 30
  • (d)Loss of Rs 30
Show answer

(c) Profit of Rs 30

Q18Multiple choice

A TV set was bought for Rs 26,250 including 5% VAT. The original price of the TV set is

  • (a)Rs 27,562.50
  • (b)Rs 25,000
  • (c)Rs 24,937.50
  • (d)Rs 26,245
Show answer

(b) Rs 25,000

Q19Multiple choice

40% of [100 – 20% of 300] is equal to

  • (a)20
  • (b)16
  • (c)140
  • (d)64
Show answer

(b) 16

Q20Multiple choice

Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is

  • (a)3.2%
  • (b)22%
  • (c)20.8%
  • (d)8% In questions 21 to 45 fill in the blanks to make the statements true.
Show answer

(c) 20.8%

(a) 3.2%

(b) 22%

(d) 8% In questions 21 to 45 fill in the blanks to make the statements true.

Q21Fill in the blanks

_________ is a reduction on the marked price of the article.

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inversely

Q22Fill in the blanks

Increase of a number from 150 to 162 is equal to increase of _________ per cent.

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x/y

Q23Fill in the blanks

15% increase in price of an article, which is Rs 1,620, is the increase of Rs _________.

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directly

Q24Fill in the blanks

Discount = _________ – _________.

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inversely

Q25Fill in the blanks

Discount = Discount % of _________.

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16/3h or 5 h 20 mins

Q26Fill in the blanks

_________ is charged on the sale of an item by the government and is added to the bill amount.

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300

Q27Fill in the blanks

Amount when interest is compounded annually is given by the formula _________.

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96

Q28Fill in the blanks

Sales tax = tax % of _________.

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directly

Q29Fill in the blanks

The time period after which the interest is added each time to form a new principal is called the _________.

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constant

Q30Fill in the blanks

_________ expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.

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ab, constant

Q31Fill in the blanks

The discount on an item for sale is calculated on the _________.

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ratio

Q32Fill in the blanks

When principal P is compounded semi-annually at r % per annum for t years, then Amount = _________.

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product

Q33Fill in the blanks

Percentages are _________ to fractions with _________ equal to 100.

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directly

Q34Fill in the blanks

The marked price of an article when it is sold for Rs 880 after a discount of 12% is _________.

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9.6 km

Q35Fill in the blanks

The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is _________, given that (1.08)2 = 1.1664.

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2 h or 2h 15 mins

Q36Fill in the blanks

In the first year on an investment of Rs 6,00,000 the loss is 5% and in the second year the gain is 10%, the net result is _________. • The amount of money that is earning interest or that you are borrowing is called the principal. • The amount due is equal to the principal Simple interest I = prt plus the accrued interest.

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90 cm

Q37Fill in the blanks

If amount on the principal of Rs 6,000 is written as 6000 1+ and compound interest payable half yearly, then rate of interest p.a. is _________ and time in years is _________.

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y = 8 a1 b 2

Q38Fill in the blanks

By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was _________.

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=

Q39Fill in the blanks

The loss per cent on selling 140 geometry boxes at the loss of S.P. of 10 geometry boxes is equal to _________.

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a b

Q40Fill in the blanks

The cost price of 10 tables is equal to the sale price of 5 tables. The profit per cent in this transaction is _________.

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480 cm2 2 1

Q41Fill in the blanks

Abida bought 100 pens at the rate of Rs 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is _________.

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288 hrs

Q42Fill in the blanks

The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is _________.

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0.250 km

Q43Fill in the blanks

2500 is greater than 500 by _________%.

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False

Q44Fill in the blanks

Four times a number is a _________ % increase in the number.

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False

Q45Fill in the blanks

5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is _________. In questions 46 to 65 state whether the statements are true (T) or false (F).

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False

Q46Short answer

To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used.

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False

Q47Short answer

Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.

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False

Q48Short answer

Discount is a reduction given on cost price of an article.

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False

Q49Short answer

Compound interest is the interest calculated on the previous year’s amount.

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True

Q50Short answer

C.P. = M.P. – Discount.

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False

Q51Short answer

A man purchased a bicycle for Rs 1,040 and sold it for Rs 800. His gain per cent is 30%.

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False

Q52Short answer

Three times a number is 200% increase in the number, then one- third of the same number is 200% decrease in the number.

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False

Q53Short answer

Simple interest on a given amount is always less than or equal to the compound interest on the same amount for the same time period and at the same rate of interest per annum.

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False

Q54Short answer

The cost of a sewing machine is Rs 7,000. Its value depreciates at 8% p.a. Then the value of the machine after 2 years is Rs 5,924.80.

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True

Q55Short answer

If the discount of Rs y is available on the marked price of Rs x, then the discount percent is 100 %.

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True

Q56Short answer

Number of students appearing for class X CBSE examination increases from 91,422 in 1999–2000 to 11,6054 in 2008–09. Increase in the number of students appeared is approximately 27%.

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False

Q57Short answer

Selling price of 9 articles is equal to the cost price of 15 articles. In this transaction there is profit of 66 %.

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False

Q58Short answer

The compound interest on a sum of Rs P for T years at R% per R annum compounded annually is given by the formula P 1 . 100 (100 gain%) C.P.

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True

Q59Short answer

In case of gain, S.P. = . 100 × S.P.

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True

Q60Short answer

In case of loss, C.P. = 100 + Loss%

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(i) Inversely (ii) Direct (iii) Inverse (iv) Direct (v) Direct

Q61Long answer

The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three years. Another way to find the total cost of an item is to add the sales tax per cent to 100%. Then multiply this new per cent by the regular price. For example, if the regular price is Rs 35.98 and the sales tax is 6%, add 6% to 100%. Then find 106% of Rs 35.98. 1.06 – 35.98 = 38.14. The total cost is Rs 38.14.

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(i) Direct (ii) Direct (iii) Direct (iv) Direct (v) Neither

Q62Short answer

The cost of a book marked at Rs 190 after paying a sales tax of 2% is Rs 192.

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(i) Direct (ii) Neither (iii) Inverse (iv) Direct (v) Direct

Q63Short answer

The buying price of 5 kg of flour with the rate Rs 20 per kg, when 5% ST is added on the purchase is Rs 21.

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y = 30

Q64Short answer

The original price of a shampoo bottle bought for Rs 324 if 8% VAT is included in the price is Rs 300.

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x = 128

Q65Short answer

Sales tax is always calculated on the cost price of an item and is added to the value of the bill. Solve the following :

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l = 40

Q66Short answer

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

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x = 20

Q67Short answer

Three bags contain 64.2 kg of sugar. The second bag contains of the contents of the first and the third contains 45% of what there is in the second bag. How much sugar is there in each bag?

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39

Q68Multiple choice

Find the S.P. if

  • (a)M.P. = Rs 5450 and discount = 5%
  • (b)M.P. = Rs 1300 and discount = 1.5%
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448 person

Q69Multiple choice

Find the M.P. if

  • (a)S.P. = Rs 495 and discount = 1%
  • (b)S.P. = Rs 9,250 and discount = 7 %
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540 words

Q70Multiple choice

Find discount in per cent when

  • (a)M.P. = Rs 625 and S.P. = Rs 562.50
  • (b)M.P. = Rs 900 and S.P. = Rs 873
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96 km/h l 1

Q71Short answer

The marked price of an article is Rs 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

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(i) k (ii) k = (iii) l = 11 (iv) m = 24 m 3

Q72Short answer

In 2007 – 08, the number of students appeared for Class X examination was 1,05,332 and in 2008–09, the number was 1,16,054. If 88,151 students pass the examination in 2007–08 and 103804 students in 2008–09. What is the increase or decrease in pass % in Class X result?

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Rs 9,000

Q73Short answer

A watch worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is offered during the sale?

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8.75 cm

Q74Short answer

In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in 2003.

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x = 72, y = 45

Q75Short answer

Jyotsana bought a product for Rs 3,155 including 4.5% sales tax. Find the price before tax was added.

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280 m

Q76Multiple choice

An average urban Indian uses about 150 litres of water every day. Activity Litres per person per day Drinking 3 Cooking 4 Bathing 20 Sanitation 40 Washing clothes 40 Washing utensils 20 Gardening 23 _________ Total 150 _________

  • (a)What per cent of water is used for bathing and sanitation together per day?
  • (b)How much less per cent of water is used for cooking in comparison to that used for bathing?
  • (c)What per cent of water is used for drinking, cooking and gardening together? Another method to find the sale price of an item is to subtract the per cent of discount from 100. Then multiply this number to the regular price.
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60l

Q77Short answer

In 1975, the consumption of water for human use was about 3850 cu.km/year. It increased to about 6000 cu.km/year in the year 2000. Find the per cent increase in the consumption of water from 1975 to 2000. Also, find the annual per cent increase in consumption (assuming water consumption increases uniformly).

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(i) No (ii) Yes (iii) Yes

Q78Multiple choice

Harshna gave her car for service at service station on 27-05-2009 and was charged as follows:

  • (a)3.10 litres engine oil @ Rs 178.75 per litre and VAT @ 20%.
  • (b)Rs 1,105.12 for all other services and VAT @ 12.5%.
  • (c)Rs 2,095.80 as labour charges and service tax @10%.
  • (d)3% cess on service Tax. Find the bill amount.
Show answer

(a) 3.10 litres engine oil @ Rs 178.75 per litre and VAT @ 20%.

(b) Rs 1,105.12 for all other services and VAT @ 12.5%.

(c) Rs 2,095.80 as labour charges and service tax @10%.

Q79Multiple choice

Given the principal = Rs 40,000, rate of interest = 8% p.a. compounded annually. Find

  • (a)Interest if period is one year.
  • (b)Principal for 2nd year.
  • (c)Interest for 2nd year.
  • (d)Amount if period is 2 years.
Show answer

(a) Interest if period is one year.

(b) Principal for 2nd year.

Q80Multiple choice

In Delhi University, in the year 2009 – 10, 49,000 seats were available for admission to various courses at graduation level. Out of these 28,200 seats were for the students of General Category while 7,400 seats were reserved for SC and 3,700 seats for ST. Find the per centage of seats available for

  • (i)Students of General Category.
  • (ii)Students of SC Category and ST Category taken together.
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12 pumps

Q81Short answer

Prachi bought medicines from a medical store as prescribed by her doctor for Rs 36.40 including 4% VAT. Find the price before VAT was added.

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Rs 4,800

Q82Short answer

Kritika ordered one pizza and one garlic bread from a pizza store and paid Rs 387 inclusive of taxes of Rs 43. Find the tax%.

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9 m

Q83Multiple choice

Arunima bought household items whose marked price and discount % is as follows: Item Quantity Rate Amount Discount%

  • (a)Atta 1 packet 200 200 16%
  • (b)Detergent 1 packet 371 371 22.10%
  • (c)Namkeen 1 packet 153 153 18.30% Find the total amount of the bill she has to pay.
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25 days

Q84Short answer

Devangi’s phone subscription charges for the period 17-02-09 to 16-03-09 were as follows : Period Amount (in Rs) Service Tax % 17-02-09 to 23-02-09 199.75 12 24-02-09 to 16-03-09 599.25 10 Find the final bill amount if 3% education cess was also charged on service tax.

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(i) mixture A, (ii) mixture D, (iii) mixture F, (iv) mixture G Lightest blue shade in mixture D. 30 containers of blue colours 75 containers of white colours

Q85Multiple choice

If principal = Rs 1,00,000. rate of interest = 10% compounded half yearly. Find

  • (i)Interest for 6 months.
  • (ii)Amount after 6 months.
  • (iii)Interest for next 6 months.
  • (iv)Amount after one year.
Show answer

(ii) Amount after 6 months.

Q86Short answer

Babita bought 160 kg of mangoes at Rs 48 per kg. She sold 70% of the mangoes at Rs 70 per kg and the remaining mangoes at Rs 40 per kg. Find Babita’s gain or loss per cent on the whole dealing.

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5 sweets

Q87Long answer

A shopkeeper was selling all his items at 25% discount. During the off season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for Rs 1,200, how much did she pay for it? • People employed in India must pay an income tax based on their income. The net pay, or take-home pay, is the amount of money that a person is paid. • Homeowners pay property taxes based on the value of their house and property.

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11 cows

Q88Short answer

Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs 1,960. What was the marked price of the mobile phone?

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21 person

Q89Short answer

Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.

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5 km

Q90Short answer

A new computer costs Rs 1,00,000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years?

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9.00 A.M.

Q91Short answer

The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?

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1 - H, 2 - D, 3 - G, 4-F 5 - C6 - A 7-B 8-E x 9.5 94. 24.9 m 21 8

Q92Short answer

Lemons were bought at Rs 48 per dozen and sold at the rate of Rs 40 per 10. Find the gain or loss per cent.

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60 g

Q93Fill in the blanks

If the price of petrol, diesel and LPG is slashed as follows: Fuel Old prices/ New price/ % Decrease litre (in Rs) litre (in Rs) Petrol / L 45.62 40.62 _______ Diesel / L 32.86 30.86 _______ LPG/14.2kg 304.70 279.70 _______ Complete the above table.

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35 km

Q94Short answer

What is the percentage increase or decrease in the number of seats won by A, B, C and D in the general elections of 2009 as compared to the results of 2004? Political party Number of seats won Number of seats won in 2004 in 2009 A 206 145 B 116 138 C 4 24 D 11 12

Q95Short answer

How much more per cent seats were won by X as compared to Y in Assembly Election in the state based on the data given below. Party Won (out of 294) X 158 Y 105 Z 18 W 13

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Slowest elevator C (speed 13 m/sec) Fastest elevator D (speed 17m/sec) For elevator B, D distance = 2.29 km For elevator C, D distance = 1.820 km

Q96Short answer

Ashima sold two coolers for Rs 3,990 each. On selling one cooler she gained 5% and on selling the the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

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37.5 m

Q97Short answer

A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Find her gain or loss%.

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5 cups

Q98Short answer

On selling a chair for Rs 736, a shopkeeper suffers a loss of 8%. At what price should he sell it so as to gain 8%?

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Yes, k = 1/4

Q99Short answer

A dining table is purchased for Rs 3,200 and sold at a gain of 6%. If a customer pays sales tax at the rate of 5%. How much does the customer pay in all for the table?

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0.6 secs

Q100Short answer

Achal bought a second-hand car for Rs 2,25,000 and spend Rs 25,000 for repairing. If he sold it for Rs 3,25,000, what is his profit per cent?

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p%

Q101Short answer

A lady bought an air-conditioner for Rs 15,200 and spent Rs 300 and Rs 500 on its transportation and repair respectively. At what price should she sell it to make a gain of 15%?

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(a) 10 : 7 (b) 98 black keys (c) 7 : 17

Q102Long answer

What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10% When an item is on sale, you can save money buying it at less than regular price. The discount is the amount that the regular price is reduced. The sale price is the regular price minus the discount. You can use a proportion or an equation to solve problems involving discount and sale price.

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Direct proportion, 120 km.

Q103Short answer

Brinda purchased 18 coats at the rate of Rs 1,500 each and sold them at a profit of 6%. If customer is to pay sales tax at the rate of 4%, how much will one coat cost to the customer and what will be the total profit earned by Brinda after selling all coats?

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1/2 cup quick cooking gas 1/6 cup bread flour 1/6 cup sugar syrup 1/2 tablespoon cooking oil 2/3 cup water 3/2 tablespoons yeast 1/2 tea spoon salt

Q104Short answer

Rahim borrowed Rs 10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

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8 new teachers

Q105Short answer

The following items are purchased from showroom: T-Shirt worth Rs 1200. Jeans worth Rs 1000. 2 Skirts worth Rs 1350 each. What will these items cost to Shikha if the sales tax is 7%?

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125 miles

Q106Multiple choice

The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet.) Sweet Corn Cream of Tomato Nutrition Facts Nutrition Facts Serving Size 1 cup (240ml) Serving Size 1 cup (240ml) About 2 serving per Container About 2 serving per Container Amount Per Serving Amount Per Serving Calories 90 Calories from Fat 9 Calories 100 Calories from Fat 20 % Daily Value* % Daily Value Total Fat 2g 2% Total Fat 2g 3% Saturated Fat-0g 0% Saturated Fat-1.5g 6% Cholesterol 0mg 0% Cholesterol 10mg 3% Sodium 540mg 22% Sodium 690mg 29% Total Carbohydrate 17g 6% Total Carbohydrate 17g 6% Dietary Fibre 3 gram 14% Dietary Fibre 4 gram 18% Sugar 5g Sugar 11g Protein 3g Protein 2g Vitamin A 30% Vitamin C 10% Vitamin A 20% Vitamin C 20% Calcium 2% Iron 6% Calcium 0% Iron 8% *Per cent Daily Values are *Per cent Daily Values are based on a 2,000 calorie diet. based on a 2,000 calorie diet.

  • (a)Which can be measured more accurately : the total amount of fat in cream of tomato soup or the total amount of fat in sweet corn soup? Explain.
  • (b)One serving of cream of tomato soup contains 29% of the recommended daily value of sodium for a 2000 calorie diet. What is the recommended daily value of sodium in milligrams? Express the answer upto 2 decimal places.
  • (c)Find the increase per cent of sugar consumed if cream of tomato soup is chosen over sweet corn soup.
  • (d)Calculate ratio of calories from fat in sweet corn soup to the calories from fat in cream of tomato soup.
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(a) Which can be measured more accurately : the total amount of fat in cream of tomato soup or the total amount of fat in sweet corn soup? Explain.

(b) One serving of cream of tomato soup contains 29% of the recommended daily value of sodium for a 2000 calorie diet. What is the recommended daily value of sodium in milligrams? Express the answer upto 2 decimal places.

Q107Short answer

Music CD originally priced at Rs 120 is on sale for 25% off. What is the S.P.? Sonia and Rahul have different ways of calculating the sale price for the items they bought. As you work on the next problem, try both of these methods to see which you prefer.

Q108Short answer

Store A and Store B both charge Rs 750 for a video game. This week the video game is on sale for Rs 600 at Store B and for 25% off at Store A. At which store is the game less expensive?

Q109Multiple choice

At a toy shop price of all the toys is reduced to 66% of the original price.

  • (a)What is the sale price of a toy that originally costs Rs 90?
  • (b)How much money would you save on a toy costing Rs 90?
Q110Multiple choice

A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. - Method 1: Subtract Rs 50 from the price and take 25% off the resulting price. - Method 2: Take 25% off the original price and then subtract Rs 50.

  • a.Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
  • b.For each method, calculate the amount Sheela would have to pay. Show your work.
  • c.Which method do you think stores actually use? Why?
Q111Short answer

Living on your own: Sanjay is looking for one-bedroom appartment on rent. At Neelgiri appartments, rent for the first two months is 20% off. The one bedroom rate at Neelgiri is Rs 6,000 per month. At Savana appartments, the first month is 50% off. The one bedroom rate at Savana appartments is Rs 7000 per month. Which appartment will be cheaper for the first two months? By how much?

Q112Short answer

For an amount, explain why, a 20% increase followed by a 20% decrease is less than the original amount. There are various taxes that people must pay. Some examples are sales tax, property tax and income tax. A tax is charge, usually a percentage, that is imposed by the government. You can set up a proportion or equation to solve problems involving taxes.

Q113Multiple choice

Sunscreens block harmful ultraviolet (UV) rays produced by the sun. Each sunscreen has a Sun Protection Factor (SPF) that tells you how many minutes you can stay in the sun before you receive one minute of burning UV rays. For example, if you apply sunscreen with SPF 15, you get 1 minute of UV rays for every 15 minutes you stay in the sun. 1. A sunscreen with SPF 15 allows only of the sun’s UV rays. What per cent of UV rays does the sunscreen abort? 2. Suppose a sunscreen allows 25% of the sun’s UV rays.

  • a.What fraction of UV rays does this sunscreen block? Give your answer in lowest terms.
  • b.Use your answer from Part (a) to calculate this sunscreen’s SPF. Explain how you found your answer. 3. A label on a sunscreen with SPF 30 claims that the sunscreen blocks about 97% of harmful UV rays. Assuming the SPF factor is accurate, is this claim true? Explain.
Q114Short answer

A real estate agent receives Rs 50,000 as commission, which is 4% of the selling price. At what price does the agent sell the property?

Q115Long answer

With the decrease in prices of tea by 15% Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea? The per cent of decrease tells what per cent the amount of decrease is of the original number. To find the per cent of decrease express a ratio of the amount of decrease to the original number as per cent. Per cent of amount of decrease ×100 Decrease original number

Q116Long answer

Below is the Report Card of Vidit Atrey. Vidit’s teacher left the last column blank. Vidit is not able to make out, in which subject he performed better and in which he needs improvement. Complete the table to help Vidit know his comparative performance. Assessment Report for 2009-2010 Class : 9B Name : Vidit Atrey Date : 31 March 2010 Subject Internal Examination Total Final% assessment 1. English Literature 20/25 82/100 102/125 2. English Language 22/25 91/100 113/125 3. Hindi Literature 18/25 67/75 85/100 4. Hindi Language 16/25 68/75 84/100 5. Mathematics 42/50 88/100 130/150 6. Sanskrit 14/20 75/100 99/120 7. Physics 45/50 90/100 135/150 8. Chemistry 41/50 82/100 123/150 9. Biology 43/50 87/100 130/150 10. History and Civics 19/25 68/75 87/100 11. Geography 17/20 71.5/80 88.5/100

Q117Short answer

Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in per centage?

Q118Short answer

During school hours, Neha finished 73% of her homework and Minakshi completed 5/8 of her homework. Who must finish a greater per cent of homework?

Q119Short answer

Rain forests are home to 90,000 of the 2,50,000 identified plant species in the world. What per cent of the world’s identified plant species are found in rain forests?

Q120Short answer

Madhu’s room measures 6m × 3m. Her carpet covers 8m2. What per cent of floor is covered by the carpet?

Q121Short answer

The human body is made up mostly of water. In fact, about 67% of a person’s total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

Q122Short answer

The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weighs 7.6 grams. How many grams of pure gold are in the ring? n 5

Q123Short answer

A student used the proportion = to find 5% of 32. What did 100 32 the student do wrong?

Q124Multiple choice

The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand. Cost Cost+Tax (in Rs) (in Rs) 1. X (100 gm) 70 75 2. Y (100 gm) 62 65 1. Complete the grid using the clues given below. Clues Down (1) The total cost price of a TV set whose cost price is Rs 6,900 and money spent on repairs is Rs 300. (2) The price of a cycle is Rs 800. It is now increased by 20%. The new sale price is Rs ____________. (3) The list price of a bag is Rs 220. A discount of 15% is offered to make the sales price as Rs ___________. Across (1) Discount on an item marked at Rs 800 and sold for Rs 721. (3) The selling price of a fan costing Rs 1,200 if a profit of Rs 5% is to be made. (4) The cost price of an item sold at Rs 1,600 at a 100% profit. (5) The profit per cent of an item marked at Rs 800 and sold at Rs. 1,360. 2. 1. Children go to school for their overall personality development. Co-curricular activities (CCA) play a major role in this. Fill the following table to know, how the students of your class did in the I and II term. S. Names Number of CCA Number of CCA Difference Increase/ No. activities (I term) activities (II term) Decrease Per cent Now, answer the following questions.

  • (a)Who is the most active participant in CCA activities in I term? In II term?
  • (b)What is the percentage of your participation in I term? In II term? 3. Discuss with your parents and create a checkbook to keep a record of monthly expenses of your family as shown below (You may change the entries as per your requirements). Sr. Date Description of Transaction Payment Payment Balance No. Debt. (–) Credit (+) 1. Payment Deposit 2. Rent 3. School expenses 4. Travelling expenses 5. Groceries 6. Gas and Electricity 7. Spending money on outings 8. Water 9. Phone 10. Credit card payment 11. Others Now, answer the following questions. (a) What per cent of the total income is spend on school expenses? (b) Are the expenditure on gas and electricity more than the expenditure on travelling expense?
  • (c)What is your family’s savings for a month?
  • (d)What per cent of family income is saved? (e) How can you increase your family’s savings? 4. Observe your daily schedule and note down the following: Activities Hours per day Sleeping At School Socialising Watching TV Doing Homework Phone chatting Net chatting Eating Bathing / Growing Other activities 1. Find the ratio of number of hours spent at school to number of hours spent while sleeping. 2. Find percentage of hours spent in (a) studying at home (b) watching TV. 3. Find the ratio of total time spent on chatting to studing. 5 School has arranged for an excursion. Students are thrilled and plan to decide their menu. You being the class representative have the responsibility to survey different shops to make the least expenditure. The following table may help you. Item Name of Shop Marked Discount Cost Price Item Price (if any) 1. Juice A 2. Cookies A 3. 4. 5. Have a discussion for the above table to make an economical purchase. Enjoy your excursion. 6. Crossword Across 1. Shopkeeper earns it if S.P. > C.P. 2. The price at which the article is purchased. 3. List price of an article. 4. It is a reduction given on M.P. 5. Duration for the sum is borrowed. 6. This becomes half if the interest is compounded half yearly. 7. Interest computed on the original principal. Down 8. This comes from Latin word per centum. 9. The price at which article is sold. 10. The original sum deposited or borrowed. 11. The interest is calculated on the amount of the previous year.. 12. Shopkeeper bears it if S.P. < C.P.