Question

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

Answer 1

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

Given,
$\text{Original expenses}=\text{Rs}1500$
$\text{Increased expenses}=\text{Rs}2250$
Thus,
$\text{Increase in expenses}=\text{Increased expenses}–\text{Original expenses}$
$=\text{Rs}2250–\text{Rs}1500=\text{Rs}750$
The ratio of increased expenses to increase in expenses
$=\frac{\text{Increased expenses}}{\text{increase in expenses}}=\frac{2250}{750}=\frac{225}{75}$

Now, simplifying the above ratio or fraction into its lowest form by dividing the numerator and denominator by $75$, we get
$\frac{225÷75}{75÷75}=\frac{3}{1}=3:1$

Therefore, the ratio of increased expenses to increase expenses is $3:1$.