Nagaraj could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased ?

A. $$22\frac{2}{9}\% $$

B. $$23\frac{1}{3}\% $$

C. $$24\frac{2}{9}\% $$

D. $$25\frac{2}{9}\% $$

Answer: Option A

Solution(By Examveda Team)

Let, his income be = Rs. 100
Saving = Rs. 10
Expenditure = Rs. 90
Increased income = Rs. 120
Increased expenditure = Rs. 110
Increased in expenditure :
$$\eqalign{ & = \frac{{110 - 90}}{{90}} \times 100 \cr & = \frac{{200}}{9} \cr & = 22\frac{2}{9}\% \cr} $$