Question
A shop gives a discount of 25% on a piece of merchandise, thereby incurring a loss of 10%. The discrepancy between the discount and the loss is Rs. 120. Find the selling price of the piece if the shop intends to gain 15%.
Solution
ATQ, Let the original cost price be Rs. '100w'. Selling price after the loss = 0.9 × 100w = Rs. '90w'. Marked price = (90w / 0.75) = Rs. (360w / 3). Loss = 100w - 90w = Rs. '10w'. Discount = (360w / 3) - 90w = Rs. (120w / 3). So, (120w / 3) - 10w = 120. Or, (80w / 3) = 120. Or, w = 4.5. Required selling price = 1.15 × 100 × 4.5 = Rs. 517.5
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