SSC CPO 2024 PYQ — Question 132

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q132

A trader sells an article at 16% below its cost price. Had he sold it for ₹192.20 more, he would have gained 15%. The new selling price (in ₹) of the article is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 713.

Let the cost price of the article be ₹100x.

According to the given question,

SP = CP × (100−L)100{(100 - L)\over 100}

SP at 16% loss = 100x×(100−16)100100x \times {(100- 16)\over 100} 

⇒ 100x×(84)100100x \times {(84)\over 100} = 84x

SP = CP  × (100+P)100{(100 + P)\over 100}

SP at 15% profit = 100x×(100+15)100100x \times {(100 + 15)\over 100}

⇒ 100x×(115)100100x \times {(115)\over 100} = 115x

Difference in the SPs = 192.20

 ⇒ 115x - 84x = 192.20

⇒ 31x = 192.20

⇒ x = 6.20

Now, CP = 100x

⇒ 100 × 6.20 = 620

New SP = 115x

⇒ 115 × 6.20 = 713

Hence the new selling price (in ₹) of the article is 713.