SSC CHSL 2024 PYQ — Question 67

The correct answer is option 1 i.e. 5%.

Given that, MP = 50% above CP

Discount = 30%

SP = MP × $(100 - D)\over 100$

Profit, P = SP - CP

Profit percentage = ${P\over CP}\times 100$

Let the cost price (CP) of the goods be 100x.

According to the givenm question,

MP = 150% of CP

⇒ MP = ${150 \over 100} \times 100x$

⇒ MP = 150x

Now, SP =  150x × $(100 - 30)\over 100$

⇒ SP = 150x  × $70\over 100$

⇒ SP = 105x

So, Profit = 105x - 100x

⇒ Profit = 5x

Profit percentage = ${5x \over 100x}\times 100$

⇒ 5%

Hence his percentage gain is 5%.