Question : A man bought 15 mangoes for a rupee. How many mangoes were sold for a rupee so that there is a loss of 25%?
Option 1: 10
Option 2: 12
Option 3: 18
Option 4: 20
Correct Answer: 20
Solution : Here CP is the cost price and SP is the selling price. Given: CP of 15 mangoes = Re. 1 CP of 1 mango = $\frac{1}{15}$ Let SP of 1 mango be $\frac{1}{x}$ To get a 25% loss, we know that, Loss percentage = $\frac{\text{CP-SP}}{\text{CP}}\times100$ ⇒ $25 = \frac{\frac{1}{15}-\frac{1}{x}}{\frac{1}{15}}\times100$ ⇒ $25 = \frac{(x-15)}{15x}\times15\times100$ ⇒ $25x=100x-1500$ ⇒ $75x=1500$ ⇒ $x=20$ So, 25 mangoes were sold for a rupee, so that there is a loss of 25%. Hence, the correct answer is 20.
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