Question : A wholesaler had 200 dozen of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit so he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?
Option 1: 140
Option 2: 60
Option 3: 80
Option 4: 120
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Correct Answer: 60
Solution :
Let the number of dozens of mangoes sold at $20\%$ profit as $x$ and the number of dozens sold at $10\%$ profit as $(200 - x)$.
Given that the wholesaler made a total profit of $13\%$ on selling all the mangoes.
⇒ $0.20x + 0.10(200 - x) = 0.13×200$
$x = \frac{0.13×200 - 0.10 ×200}{0.20 - 0.10} = 60$
Hence, the correct answer is 60.
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