Question

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

Answer 1

Finding the ratio of the original expenses to increased expenses :
Given,
$\text{Original expenses}=\text{Rs}1500$
$\text{Increased expenses}=\text{Rs}2250$
Thus,
The ratio of original expenses to increased expenses
$=\frac{\text{Original expenses}}{\text{Increased expenses}}=\frac{1500}{2250}=\frac{150}{225}$

Now, simplifying the above ratio or fraction into its lowest form by dividing the numerator and denominator by $75$, we get
$\frac{150÷75}{225÷75}=\frac{2}{3}=2:3$

Therefore, the ratio of original expenses to increased expenses is $2:3$.