Question

One-fifth of Mehul’s expenditure is equal to one-third of his savings. If his monthly income is Rs. 9600, what will be his total savings in a year?

• A. Rs. 36000
• B. Rs. 43200
• C. Rs. 72000
• D. Rs. 60000
• E. None of the above

Answer 1

The correct option is B Rs. 43200

Let the expenditure of a month be = x then the savings will be = 9600 - x

So, $\frac{1}{5}$x = $\frac{1}{3}$ (9600 - x) $\Rightarrow$ $(\frac{1}{5}+\frac{1}{3})$ = 3200

$\Rightarrow$ x = 3200 $\times \frac{15}{8}=6000$

So, his yearly savings will be 12$\times$ (9600 - 6000) = Rs 43200