SSC GD 2023 PYQ — Question 49

SSC GD Constable (English) - 16 Jan 2023 - Shift 1 • Quantitative Aptitude • Q49

If the length of a rectangle is reduced by 15% and breadth is increased by 10%, what is the percentage change in the area of the rectangle?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6.5% decrement.

If the length of a rectangle is reduced by 15% and breadth is increased by 10%.

Percentage change = x + y + xy/100

So, the percentage change in the area of the rectangle

= -15 + 10 -15 × 10/100

= -5 - 1.5

= -6.5%

6.5% decrement