A person loses 15 percent on selling 50 shoes for Rs 85. What should be the selling price of 50 shoes to earn a profit of 35 percent?

a) Rs 115
b) Rs 135
c) Rs 110
d) Rs 120

Ans : 135

SSC Constable GD Exam Paper : Quantitative Aptitude

Solution

Find the cost price of 50 shoes.

Given that the person loses 15% on selling 50 shoes for Rs 85, this means the selling price (SP) is Rs 85, which is 85% of the cost price (CP) because of a 15% loss.

Selling Price = 85% of Cost Price(CP)

$85 = \frac {85}{100} \times CP$
CP = $\frac {85 \times 100}{85} = 100$

So, the cost price (CP) of 50 shoes is Rs 100.

Calculate the selling price for a 35% profit.

To earn a 35% profit, the selling price (SP) should be 135% of the cost price.

Selling Price (SP) = 135% x Cost Price (CP)

SP = $\frac {135}{100} \times 100 = 135$

The selling price of 50 shoes to earn a 35% profit should be Rs 135.