Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By wh

Question

Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?

Accepted Answer

Let Arun's current age be A. Hence, Barun's current age is 2.5A Let Arun's age be half of Barun's age after X years. Therefore, 2*(X+A) = 2.5A + X Or, X = 0.5A Hence, Barun's age increased by 0.5A/2.5A = 20%