SSC MTS 2023 PYQ — Question 18

SSC MTS - 03 May 2023 - Shift 1 • Quantitative Aptitude • Q18

A person sold an article at a loss of 4%. Had he sold it at a gain of 1%, he would have received Rs.42.5 more. To gain 18%, what must be his selling price?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs. 1003.

Calculations:

Let the Cost price of the article be 100x

Selling price after a loss of 4% = 96% of 100x = 96x

Selling price if he gains 1% = 101% of 100x = 101x

According to the question;

⇒ 101x - 96x = 42.5

⇒ 5x = 42.5

⇒ x = 8.5

The cost price of the article = 100x = 8.5 × 100 = 850

Selling price of the article to gain 18% = 118% of 850 =  Rs 1003