Q25Long answerExercise 3.3
125 = Rs y + y = Rs y 100 100 110 125 So, x+ y = 1050 (1) 100 100 25 125 When the table is sold at a profit of 25%, its selling price = Rs x + x = Rs x 100 100 10 110 When the chair is sold at a profit of 10%, its selling price = Rs y + y = Rs y 100 100 So, 125 110 (2) x+ y = 1065 100 100 From Equations (1) and (2), we get 110x + 125y = 105000 and 125x + 110y = 106500 On adding and subtracting these equations, we get 235x + 235y = 211500 and 15x – 15y = 1500 i.e., x+y = 900 (3) and x – y = 100 (4) Solving Equations (3) and (4), we get x = 500, y = 400 So, the cost price of the table is Rs 500 and the cost price of the chair is Rs 400.