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% los… — Answer & Discussion

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 was

ARs. 848
BRs. 860
CRs. 842
DRs. 852

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Discussion 1

CCommunity15 Jul 2019

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