Question
Meena buys some equal-priced goods for Rs. 7,500. She
sells one-third of them at a loss of 12%. What profit percent should she make on the rest to earn an overall gain of 15%?Solution
ATQ,
Cost price of one-third of goods = 7500 ÷ 3 = Rs. 2,500 Selling price of those goods = 0.88 × 2500 = Rs. 2,200 Total selling price for 15% overall profit = 7500 × 1.15 = Rs. 8,625 Selling price of remaining goods = 8625 – 2200 = Rs. 6,425 Cost price of remaining goods = 7500 – 2500 = Rs. 5,000 Required profit percent = ((6425 – 5000) ÷ 5000) × 100 = (1425 ÷ 5000) × 100 = 28.5% Hence, Remaining goods should be sold at 28.5% profit
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