Question

A is $25$% older than $B$, by what percent is $B$ younger than $A$ ?

Answer 1

• Let the age of B = X yrs
• Now, age of A = X + 25% of X
• $=X+\left(25/100\right)\times X=X+(X=4)=\left(\frac{5X}{4}\right)$ yrs
• Now, B is $\left(\right(\frac{5x}{4})-X)$ i. e. ($\frac{x}{4}$) yrs younger than A
• Now, in terms of percentage, [ (($\frac{x}{4}$)/$\left(\frac{5x}{4}\right)$)× 100]\% = 20 %