Question

The ratio of income to the expenditure of a family is $7:6$. Find the savings if income is $₹21000$.

Answer 1

Step $1:$ Finding the expenditure:

Let the expenditure of a family is $\text{₹x}$.

Then, the ratio of income to the expenditure of a family is $\text{21000:x}$

According to question, the ratio of income to the expenditure of a family is $7:6$

$$\begin{gathered} \Rightarrow \frac{7}{6}=\frac{21000}{x} \\ \text{⇒x×7=21000×6} \\ \text{⇒ 7x=126000} \\ \text{⇒ x=}\frac{126000}{7} \\ \Rightarrow \mathrm{x}=18000 \end{gathered}$$

Therefore, the expenditure of a family is $\text{₹18000}$.

Step $2:$ Finding the savings:

$$\begin{gathered} \text{Total income=Expenditure+Savings} \\ \text{⇒Savings=Total income-Expenditure} \\ \text{=21000-18000} \\ \text{=3000} \end{gathered}$$

Hence, the savings of the family is $\text{₹3000}$