Question

A man buys a certain number of Litchies at 20 per rupee and an equal number at 30 per rupee. He mixed them and sold them at 25 per rupee. Find his gain or loss percent. If the cost for less loss would have been X%, what is X?

a) Loss percent is 20%
b) Loss percent is 25%
c) Loss percent is 10%
d) X = 20%

Answer 1

The man has made a gain of 140%. If the cost for less loss would have been X%, then X = -40%.

Step-by-step explanation:

To find the gain or loss percent, we need to calculate the cost price and the selling price.

Let's assume the man buys x litchies at 20 per rupee and an equal number at 30 per rupee.

Cost price = (x/20) + (x/30) = (3x + 2x)/60 = 5x/60 = x/12

Selling price = (2x + 3x)/25 = 5x/25 = x/5

To calculate the gain or loss percent, we use the formula:

Gain/Loss percent = [(Selling price - Cost price)/Cost price] × 100 = [(x/5 - x/12)/x/12] × 100 = [(12x - 5x)/5x] × 100 = (7x/5x) × 100 = 7 × 20 = 140%

Hence, the man has made a gain of 140%.

If the cost for less loss would have been X%, then X = 100% - 140% = -40%