Question

Sushma gives $0.025$part of her income as pocket money to her son every month. He spends $0.8$ part of his pocket money and saves the rest. If he saves Rs $555$ in $6$ months, Find the monthly salary of Sushma.

Answer 1

Boy saves Rs $555$ in $6$ months

So, his saving each month is $\frac{555}{6}$$=$ Rs $92.5$

Let the income of Sushma be $a$

She gives $0.025$part of her income to her son as a pocket money

so, the son's pocket money is $0.025a$

Boy spends $0.8$ part of his pocket money

so he saves $0.2$part

now, $0.2\times 0.025a$$=92.5$

$0.005a=92.5$

on dividing by $0.005$ to both side

$\frac{0.005a}{0.005}=\frac{92.5}{0.005}$

$a=18500$

hence the income of Sushma is 18500