SSC GD 2024 PYQ — Question 51

The correct answer is option 3 i.e. 60%.

SP = MP × ${100 - D}\over 100$

SP = CP × ${100 + P}\over 100$

Let the selling price of the article be 100x.

According to the given question,

 100x = MP × ${100 - 20}\over 100$

⇒ MP = $100x \times {5 \over 4}$

⇒ MP = 125x

Now,  100x = CP × ${100 + 28}\over 100$

⇒ CP = $100x \times{25 \over 32}$

⇒ CP = 78.125x

Now difference between MP and CP = 125x - 78.125x

⇒ 46.875x

Percentage = ${46.87 \over 78.125} \times 100$ = 60%

Hence the marked price is marked 60% above the cost price.