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
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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