SSC CHSL 2024 PYQ — Question 55

The correct answer is option 3 i.e. 40%.

Let the cost price of 1 pen be X and the selling price of 1 pen be Y.

According to the question:

The selling price of 100 pens = Cost price of 140 pens

100 × Y = 140 × X

$\frac{Y}{X}$ = $\frac{140}{100}$ = $\frac{7}{5}$

So, the selling price of 1 pen is 7/5​ times the cost price of 1 pen.

Profit per pen = Selling Price - Cost Price

Profit = Y − X = $\frac{7}{5}$X - X = $\frac{7X-5X}{5}$ = $\frac{2X}{5}$

Profit Percentage =  $\frac{Profit}{C.P}$ × 100

Profit Percentage = ($\frac{2X}{5}$ ÷ X) × 100 = 40%