Question

If sweet be bought at the rate of 14 for a rupee. How many must be sold for a rupee to gain 40 percent profit.

Answer 1

10 sweets must be sold for a rupee to gain 40 percent profit

Solution:

Given that,

sweet be bought at the rate of 14 for a rupee

Which means, 14 sweets for a rupee

To gain 40 % profit, 14 sweets must be sold for:

Selling price of 14 sweets = Rs 1 + 40 % on Rs 1

$\text{ Selling price of 14 sweets } = 1 + \frac{40}{100} \times 1\\\\\text{ Selling price of 14 sweets } = 1.4$

Therefore, SP of 1 sweet is:

$\text{ SP of 1 sweet } = \frac{1.4}{14}$

Therefore, Number of sweets that would be sold in Rs 1 is:

$\frac{14}{1.4} = 10$

Thus, 10 sweets must be sold for a rupee to gain 40 percent profit

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