Question
By offering a 35% discount on a commodity, a merchant
experiences a 20% loss. The gap between the discount offered and the loss equates to Rs. 210. What should be the selling price of the commodity for the merchant to achieve a 30% gain?Solution
ATQ, Assume the cost price of the commodity is Rs. '100z'. Selling price with loss = 0.8 × 100z = Rs. '80z'. Marked price = (80z / 0.65) = Rs. (800z / 13). Loss = 100z - 80z = Rs. '20z'. Discount = (800z / 13) - 80z = Rs. (240z / 13). Hence, (240z / 13) - 20z = 210. Or, (40z / 13) = 210. Or, z = 136.5. Required selling price = 1.3 × 100 × 136.5 = Rs. 17,745.
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