Question 18

A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50 for it then A purchased it at

Solution

Selling price (SP) , Cost price (CP), Profit (P)

SP of A = 115

CP of B = 115

let original price for A be x

A sold item at 15% profit

Cost for B = 1.15x sold at 10% loss

Cost for C = $$ 0.9(1.15x) $$

C paid 517.5

517.5 = 0.9(1.15x)

$$ x = \frac{517.5}{0.9 \times 1.15} = 500 $$

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