SSC GD 2019 PYQ — Question 62

SSC GD Constable (English) - 6 March 2019 Shift 1 • Quantitative Aptitude • Q62

If the length of a rectangle is increased in the ratio 4 : 5 and its breadth is decreased in the ratio 3 : 2, then its area will be decreased in the ratio ............

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 6 : 5

Let initial length and breadth of rectangle be 4x and 3y

let changed length and breadth of rectangle be 5x and 2y

Initial area = 4x × 3y = 12xy

Final area = 5x × 2y = 10xy

area will be decreased in the ratio of 12xy : 10xy = 6 : 5