A person bought few mangoes at the rate of 8 in Rs. 30 and in the same quantity at the rate of 5 for a sum of Rs 20. He mixed both the types of mangoes and sold them at Rs. 100 for 20. What is its profit / loss percentage on selling price?
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Profit of 22.5%
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Loss of 20%
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Profit of 45%
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Loss of 25%
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None of these
A
Correct answer
Explanation
First batch: 8 mangoes for Rs. 30, price per mango = 30/8 = Rs. 3.75. Second batch: 5 mangoes for Rs. 20, price per mango = Rs. 4.00. For 20 mangoes (10 from each batch): cost = 10 × 3.75 + 10 × 4 = Rs. 77.50. Sold for Rs. 100. Profit = 100 - 77.50 = Rs. 22.50. Profit percentage on cost price = 22.50/77.50 × 100 = 29.03%. On selling price: 22.50/100 × 100 = 22.5%. The question asks for percentage on selling price, giving 22.5% profit.