SSC GD 2024 PYQ — Question 43

The correct answer is option 1 i.e. 40 percent.

cost price (CP) of the shirt  = ( C).

The marked price (MP) of the shirt is twice the cost price {MP} = 2C

The  selling price (SP) needs to be 20% more than the cost price

(SP) = C + 0.20C = 1.20C

The discount percentage = ( x). 

SP = MP - Discount

SP = MP - $\left( \frac{x}{100} \times \text{MP} \right)$

SP = MP$\left( \frac{x}{100} \times \text{MP} \right)$

⇒ 1.20C = 2C$\left( 1 - \frac{x}{100} \right)$

$\frac{1.20C}{2C} = 1 - \frac{x}{100}$

⇒ 0.60 = $1 - \frac{x}{100}$

⇒ 0.60 - 1 = $- \frac{x}{100}$

⇒ -0.40 = $- \frac{x}{100}$

⇒ x = 40

The discount percentage should be 40%.