Question

The ratio of monthly income to the savings of a family is $11:2$. If the savings be $Rs.2500$, find the income and expenditure.

Answer 1

Given:

The ratio of monthly income to the savings of a family $=11:2$

$\Rightarrow$ income $=11x$

Savings be $=2x$

According to the question

Savings $=Rs.2500$

$\Rightarrow 2x=2500$

$\Rightarrow x=\frac{2500}{2}=1250$

$\Rightarrow x=1250$

Now, $11x=11\times 1250=13750$

Thus, Income $=Rs13750$

We know,

Expenditure $=$ Income $-$ Savings

$=Rs13750-Rs.2500$

$=Rs11250$

Hence, The expenditure is $Rs11250$.