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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?
  • a)
    140
  • b)
    60
  • c)
    80
  • d)
    120
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wholesaler had 200 dozens of mangoes. He sold some of these mangoes ...
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
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Most Upvoted Answer
A wholesaler had 200 dozens of mangoes. He sold some of these mangoes ...
Let's assume that the wholesaler sold x dozens of mangoes at a 20% profit and (200 - x) dozens of mangoes at a 10% profit.

To calculate the overall profit percentage, we need to find the weighted average of the two profit percentages based on the number of mangoes sold at each profit percentage.

The profit percentage on the mangoes sold at a 20% profit can be calculated as:
(20/100) * x = 0.2x

The profit percentage on the mangoes sold at a 10% profit can be calculated as:
(10/100) * (200 - x) = 0.1(200 - x) = 20 - 0.1x

The overall profit percentage can be calculated as:
(0.2x + 20 - 0.1x) / 200 = 13/100

Simplifying the equation, we have:
0.1x + 20 = 26
0.1x = 6
x = 60

Therefore, the wholesaler sold 60 dozens of mangoes at a 20% profit. The correct answer is option B.
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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?a)140b)60c)80d)120Correct answer is option 'B'. Can you explain this answer?
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