SSC GD 2024 PYQ — Question 43

SSC GD Const (English) - 21 Feb 2024 - Shift 2 • Quantitative Aptitude • Q43

If the cost price of 5 shirts is the same as the selling price of 3 shirts, find the profit percentage.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 66.66% profit.

Let the cost price(CP) of the article be x and the selling price(SP) of the article be x

The total cost price for 5 shirts = 5x and,

The total selling price of 3 shirts = 3y

According to the question, the cost price of 5 shirts is the same as the selling price of 3 shirts, so

⇒ 5x = 3y

⇒ y = 5x/3

Now,

Profit = SP - CP

Profit= y - x

⇒ 5x/3 - x

⇒ (5x - 3x)/3

⇒ 2x/3

Hence,

Profit% = Profit/CP × 100

Profit% = 2x/3/x × 100

⇒ 2x/3x × 100

⇒ 2/3 × 100 = 66.66%