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A person bought two chairs for Rs. 2,400 and sold the first at a profit of 25% and second at a loss of 10%. If he sold the first at 20% loss and second at 30% profit, he would get Rs. 300 more. The difference of the cost price of the chairs was1). Rs. 8482). Rs. 8603). Rs. 8424). Rs. 852 |
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Answer» LET the Cost Price (C.P) of chair_1 be ‘x’ and that of chair_2 be (2400 - x) Selling Price (S.P) in the FIRST case = 1.25x + 0.9 × (2,400 - x) S.P in the second case = 0.8x + 1.3 × (2,400 - x) ACCORDING to the given condition, 0.8x + 1.3(2,400 - x) = 300 + 1.25x + 0.9 (2,400 - x) ∴ 0.4 × (2,400 - x) = 0.45x + 300 ∴ 960 – 300 = 0.45x + 0.4x ∴ 660 = 0.85x ∴ x ≈ 776 ∴ Difference in C.P of chair_1 and chair_2 = (2,400 – x) - x = 2,400 – 2X = 2,400 – 1552 = 848 ∴ The difference in C.P is Rs. 848 |
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