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A vendor bought lemons at 7 for ₹1. How many lemons must he sell for ₹1 to gain 75%?
Question

A vendor bought lemons at 7 for ₹1. How many lemons must he sell for ₹1 to gain 75%?

A.

8

B.

4

C.

5

D.

6

Correct option is B

Given:

The vendor buys lemons at 7 for ₹1.

The vendor wants to gain 75% profit.

Formula Used:

S.P. = C.P. × (1+Profit Percentage100) \left(1+\frac{\text{Profit Percentage}}{100}\right)​​

Solution:

Cost Price (C.P.) of 1 lemon = ₹ 17\frac{1}{7}​ per lemon

Selling Price (S.P.) for a 75% profit:

S.P. = 17×1.75=1.757\frac{1}{7} \times 1.75 = \frac{1.75}{7}​ = ₹ 0.25 per lemon

Number of lemons to sell for ₹1 = 10.25\frac{1}{0.25}​ = 4

Thus, The vendor must sell 4 lemons for ₹1 to gain a 75% profit

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