SSC CHSL 2024 PYQ — Question 64

The correct answer is option 2 i.e. $33 \frac{1}{3}\%$.

Let the marked price of the article be 100x.

According to the given question,

First selling price = 66% of 100x = 66x

Given that, P = 10%

$CP = SP \times {{100 \over {100 + P}}}$

⇒ $CP = 66x \times {{100 \over {100 + 10}}}$

⇒ $CP = 66x \times {{100 \over 110}}$

⇒ CP = 60x

Now, second selling price = 80% of 100x = 80x

Profit = SP - CP

⇒ Profit = 80x - 60x

⇒ Profit = 20x

And, Profit Percentage = ${P \over CP} \times 100$

⇒ ${20x \over 60x} \times 100$

⇒ $100 \over 3$ = $33 \frac{1}{3}\%$

Hence the required profit percentage is $33 \frac{1}{3}\%$.