SSC GD 2024 PYQ — Question 48

The correct answer is option 1 i.e. 20 percent profit. 

Let the cost price (CP) of the article be ₹100 .

The merchant marks the price 50% above the cost price. So, the marked price (MP) is: $\text{MP} = \text{CP} + 50\% \text{ of CP} = 100 + 50\% \times 100 = 100 + 50 = ₹150$

The merchant allows a 20% discount on the marked price. So, the selling price (SP) after the discount is:

⇒ SP = MP - 20%  of MP = 150 - 20% × 150 = 150 - 30 = ₹120

Profit = SP - CP = 120 - 100 = ₹20

Profit Percentage = $\left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 = \left( \frac{20}{100} \right) \times 100 = 20\%$

The merchant makes a profit of 20%.