SSC CGL 2023 PYQ — Question 63

The correct answer is option 1 i.e. $16 \frac{2}{3}\%$.

Let the cost price (C.P.) of 1 orange be = x

the cost price of 28 oranges is equal to the selling price of 24 oranges,

⇒ 28 × x = 24 × S.P. of 1 orange

Let the selling price (S.P.) of 1 orange be S.P. of 1 orange = y

So

⇒ 28x = 24y

⇒ y = 28x/24 = 7x/6

Thus, the selling price of 1 orange is 7/times the cost price.

The profit per orange = y − x = 7x/6 − x = (7x − 6x)/6 = x/6

Profit percentage = (proft/c. p.) × 100 = (x/6) × 100 = 1/6 × 100 = $16 \frac{2}{3}\%$