2017 · Q78
The length of a rectangle is increased by 60%. By what per cent would the width have to be decreased to maintain the same area?
general-mental-abilityquantitative-aptitude
- A37.5 %
- B60%
- C75%
- D120%
Explanation
Let the breadth be reduced by the fraction w; with length multiplied by 1.6, constant area gives 1.6 × w = 1, so w = 0.625. Equivalently, the breadth must fall to five-eighths of its original value. The breadth must therefore decrease by 1 − 0.625 = 37.5%, giving (A).