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Question
A vendor purchased 720 lemons at ₹ 120 per hundred.10% of the lemons were found rotten which he sold at ₹ 50 per hundred. If he sells the remaining lemons at ₹ 125 per hundred, then his profit will be 16%.
Options
True
False
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Solution
This statement is False.
Explanation:
Given, cost price of 100 lemons = ₹ 120
Cost price of 1 lemon = ₹ `120/100`
And cost price of 720 lemons = `120/100 xx 720` = ₹ 864
According to the question, 10% of the lemons were rotten.
∴ 10% of 720 lemons = `10/100 xx 720` = 72 lemons
Also, given, selling price of 100 rotten lemons = ₹ 50
Selling price of 1 rotten lemon = ₹ `50/100`
And selling price of 72 rotten lemons = `50/100 xx 72` = ₹ 36
Also, selling price of 100 good lemons = ₹ 125
∴ Selling price of good lemon = ₹ `125/100`
And selling price of (720 – 72) good lemons
= `125/100 xx (720 - 72)`
= `125/100 xx 648`
= ₹ 810
Now, total selling price of 720 lemons = 36 + 810 = ₹ 846
Clearly, selling price < cost price.
Therefore, vendor will bear loss.
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