Hello sir,
This question was asked in Cat 2017 slot- 1, please explain the solution in details.
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?
A =0.4B
A + x =(B +x)/2
2A + 2x = B + x
x = B - 2A
x = B - 0.8B
x =0.2B
=> B =5x
After x year, the age of Barun's = 5x + x = 6x
Percentage increases = [(6x - 5x)/5x ] x 100 = 20%
Second method,
Let Barun's age is 100 years and Arun's age is 40 years.
After x years,
40 + x = (100 + x) /2
80 + 2x = 100 + x
x = 20
Percentage = 20%
The present ages of father and son is in the ratio of 7:2. After 6 years their ratio becomes 11:4. What is the difference in the present ages of father and son?
1. 26 years
2. 28 years
3. 35 years
4. 36 years