SSC GD 2023 PYQ — Question 44

SSC GD Constable (English) - 1 Feb 2023 - Shift 1 • Quantitative Aptitude • Q44

The price of a mobile-first successively decreases by 5% and 2%, and after that, the price is increased successively by 10%, and 20%, respectively. What is the final change in the price of the mobile?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 22223250\frac{223}{250}%.

Let the price of the mobile be 100.

According to the question,

The new price of the mobile

⇒ 100 × (100 - 5)/100 × (100 - 2)/100 × (100 + 10)/100 × (100 + 20)/100

⇒ 100 × 95/100 × 98/100 × 110/100 × 120/100

⇒ 122223250\frac{223}{250}

Hence, the final change in the price = (122223250\frac{223}{250} - 100)% = 22223250\frac{223}{250}%