SSC MTS 2022 PYQ — Question 72

SSC MTS - 19 July 2022 - Shift 3 • Quantitative Aptitude • Q72

A person bought an article and sold it at a loss of 15%. If he would have sold it for ₹50 more, he could have gained 10%. What was the original cost price of the article?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e ₹ 200

Explanation :

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

Now, the selling price at 15% loss = 85x

Also, the selling price at 10% gain = 110x.

According to the given question,

the selling price at 10% gain - the selling price at 15% loss = 50

⇒ 110x - 85x = 50

⇒ 25x = 50

⇒ x = 2

So, the cost price of the article = 100x = 2 × 100 = 200

Hence the cost price of the article is ₹ 200.