Question : A dealer marks his goods at 40% above the cost price. He sells 60% of the goods at the marked price by giving a 10% discount and the rest by giving a 50% discount on the marked price. What is his overall profit or loss percentage?
Option 1: Loss 2.8%
Option 2: Profit 2.8%
Option 3: Profit 3.6%
Option 4: Loss 3.6%
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Correct Answer: Profit 3.6%
Solution : Let the cost price be 100 Marked price at 40% = 140. If the total number of articles (goods) is 100, then according to the question: Selling price of the 60% goods at 10% discount = $60\times(\frac{90}{100}\times140)=7560$ Selling price of the remaining 40% goods at 50% discount = $40\times(\frac{50}{100}\times140)=2800$ Overall selling price = 7560 + 2800 = 10360 Profit percentage = $\frac{\text{selling price - cost price}}{\text{cost price}}\times100$ = $\frac{10360-10000}{10000}\times100$ = 3.6% profit Hence, the correct answer is 3.6% profit.
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