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A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit…

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A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

A140
B60
C80
D120

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CCommunity02 Jun 2019

Let the mangoes at profit 20% be x dozens

⇒ Mangoes at profit 10% = (200 - x) dozens

⇒ 1.2x + 1.1(200 - x) = 200 × 1.13

⇒ 0.1x = 6

⇒ x = 60

∴ Number of mangoes sold at 20% profit = 60 dozens