SSC GD 2021 PYQ — Question 59

The correct answer is option 3 i.e. 8899

Let CP be Rs. x 

Loss = 10% when SP = Rs. 7281

Loss% = $\dfrac{CP - SP}{CP} × 100$

10 = $\dfrac{x - 7281}{x} × 100$

10x = 100x - 728100

⇒ 90x = 728100

⇒ x = 8090

So CP = Rs. 8090

Now when gain = 10% 

Gain% = $\dfrac{SP - CP}{CP} × 100$

10 = $\dfrac{SP - 8090}{8090} × 100$

8090 = 10SP - 80900

⇒ 10SP = 88990

⇒ SP = 8899

So he should sell an article for Rs. 8899 to make a profit of 10%.