SSC GD 2024 PYQ — Question 57

SSC GD Const (English) - 20 Feb 2024 - Shift 1 • Quantitative Aptitude • Q57

The marked price of a chair is Rs. 2000. After giving two successive discounts of 20 percent and x percent, the chair is sold for Rs. 1400. What is the value of x?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12.5 percent.

Given that

Marked price = 2000

Selling price = 1400

Discounts are given = 20 percent and x percent

Since the discounts are always given on Marked prices,

20100\frac{20}{100} × 2000 = 400

Price now becomes = 2000 - 400 = 1600

Now another discount of x percent is given on this price

x100\frac{x}{100}  × 1600 

⇒ 16x

Now the final price after 2 successive discounts become

1600 - 16x = 1400, which implies that x = 12.5 percent

Hence, the value of x is 12.5 percent.