Question
A trader buys a television and a refrigerator together
for ₹28,500. He sells the television at a profit of 25% and the refrigerator at a profit of 15%. If his overall profit on the whole transaction is 20%, what is the cost price of the television?Solution
ATQ, Let cost price of TV = ₹x Then cost price of fridge = ₹(28,500 − x) Selling price of TV = x × 1.25 Selling price of fridge = (28,500 − x) × 1.15 Overall selling price (20% profit)= 1.20 × 28,500 = ₹34,200 So, 1.25x + 1.15(28,500 − x) = 34,200 1.25x + 32,775 − 1.15x = 34,200 0.10x = 34,200 − 32,775 = 1,425 x = 1,425 ÷ 0.10 = 14,250 So, cost price of the TV = ₹14,250.
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