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

Options

A. `22(2)/(9)%`
B. `23(1)/(3)%`
C. `24(2)/(9)%`
D. `25(2)/(9)%`

Answer

A

Explanation

(a) Let income be Rs. 100
Expenditure amount `=100 xx (90)/(100)=Rs. 90`
Now, income increased by 20% `=100xx(120)/(100)=Rs. 120`
Expenditure amount =(120-10)=Rs. 110
Increase in expenditure =110-90=Rs. 20
Increase in % of expenditure`=(20)/(90)xx100`
`=(200)/(9)=22(2)/(9)%`