Question

The weekly expenses of a boy have increased from $\text{Rs}1,500$ to $\text{Rs}2,250$. Find the ratio of :
i) increase in expenses to original expenses

Answer 1

Finding the ratio of the increase in expenses to original expenses :

Given,
$\text{Original expenses}=\text{Rs}1500$
$\text{Increased expenses}=\text{Rs}2250$
Thus,
$\text{Increase in expenses}=\text{Increased expenses}–\text{Original expenses}$
$=\text{Rs}2250-\text{Rs}1500=\text{Rs}750$
$\text{The ratio of increase in expenses to original expenses}$
$=\frac{\text{Increase in expenses}}{\text{Original expenses}}=\frac{750}{1500}=\frac{75}{150}$

Now, simplifying the above ratio in its lowest form by dividing the numerator and denominator by $75$, we get
$\frac{75÷75}{150÷75}=\frac{1}{2}=1:2$

Therefore, the ratio of increase in expenses to original expenses is $1:2$.