SSC GD 2019 PYQ — Question 61

SSC GD Constable (English) - 3 March 2019 Shift 3 • Quantitative Aptitude • Q61

A person bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 170 more, he would have had a profit of 20%, Find the cost price of this item. (nearest to an integer)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Rs. 1308

Let the cost price be 100x.

⇒ He sold at 5% loss = 95x

⇒ He bought at 10% loss then it becomes 90x

New selling price = 90x × 1.2 = 108x

⇒ Difference = 108x - 95x = 170

⇒ 13x = 170

⇒ 100x = 170/13 × 100

⇒ 1307.7 ≈ Rs.1308