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%.

विकल्प

• True

• False

Answer 1

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.