SSC CGL 2023 PYQ — Question 69

The correct answer is option 4 i.e. 39.51%.

Let the marked price of goods be Rs. 100.

Discount = 18%

Profit 30%

Selling price, $SP = {{MP \times {(100 - D)\over 100}}}$

⇒ $SP = {{100 \times {(100 - 18)\over 100}}}$

⇒ ${{100 \times {82\over 100}}}$ = Rs. 82

Now, $CP = {{ SP \times {100 \over (100 + P)}}}$

⇒ ${{ 82 \times {100 \over 130}}}$ = Rs. 63.08

Now, new discount on marked price = 12%

So, $SP = {{100 \times {(100 - 12)\over 100}}}$

⇒ ${{100 \times {88\over 100}}}$ = Rs. 88

Profit = SP - CP

⇒ 88 - 63.08 = Rs. 24.92

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

⇒ ${24.92 \over 63.08} \times 100$ = 39.5053 ≈ 39.51%

Hence the profit percentage is 39.51%.