SSC Selection Post 2019 PYQ — Question 53

SSC Selection Post - Matriculation Level 2019 - 14 Oct 2019 - Shift 1 • Quantitative Aptitude • Q53

If each side of a rectangular field is increased by 32%, then by how much percent does the area of the field increase?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 74.24%

Let original length = L, and breadth = B
Original area = A1 =L × B

New length = L × 1.32 = 1.32L
New breadth = B × 1.32 = 1.32B
New area = A2 = 1.32L × 1.32B = (1.32)2 × LB = 1.7424 × A1

% increase=(1.7424 − 1) × 100 = 74.24%

​