Question : A man bought 30 mangoes for a rupee. How many mangoes had he sold for a rupee so that there is a loss of 40 percent?
Option 1: 50
Option 2: 40
Option 3: 45
Option 4: 60
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Correct Answer: 50
Solution : Given: A man bought 30 mangoes for a rupee. The cost price for one mango = $\frac{1}{30}$ Loss percentage = $\frac{\text{Cost price– Selling price }}{\text{Cost price}}×100$ Let the cost price be $100x$. There is a loss of 40%. Then, the selling price $=(100-40)x=60x$. According to the question, $100x=\frac{1}{30}$ ⇒ $x=\frac{1}{3000}$ ⇒ $60x=60\times\frac{1}{3000}=\frac{1}{50}$ The mangoes he sold for a rupee at 40% loss is 50. Hence, the correct answer is 50.
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