The savings and expenditure of a family in a month on different heads is shown in the given pie chart. The family saves ₹8,000 per month.

Head	Angle
Food	120°
Infrastructure	105°
Savings	60°
Education	30°
Other	45°

Question: Find the total monthly expenditure (in ₹) of the family.

The pie chart displays the distribution of a family's savings and expenditure across different heads using angles. Let us represent the total budget of the family (which is the sum of total expenditure and savings) as $T$.

A complete circle in a pie chart represents 360°.
The angle corresponding to Savings is given as 60°.
The actual amount saved by the family is ₹8,000 per month.

Therefore, we can set up the relation for savings:
$\frac{{60}^{\circ }}{{360}^{\circ }}\times T=8000$

Simplifying the fraction:
$\frac{1}{6}\times T=8000$

Solving for $T$:
$T=8000\times 6=48000$
So, the total monthly income (expenditure + savings) of the family is ₹48,000.

The question asks for the total monthly expenditure of the family. Since the total budget consists of expenditure and savings, we have:
Total Expenditure = Total Monthly Income - Savings
$\text{Total Expenditure}=48000-8000=40000$

Alternatively, we can find the angle representing the total expenditure.
The angle for total expenditure is the sum of the angles for food, infrastructure, education, and other heads, or simply:
${360}^{\circ }-{60}^{\circ }\text{ (Savings angle)}={300}^{\circ }$

Now, calculate the expenditure directly using this angle:
$\text{Total Expenditure}=\frac{{300}^{\circ }}{{360}^{\circ }}\times 48000$

Simplifying the fraction $\frac{300}{360}=\frac{5}{6}$:
$\text{Total Expenditure}=\frac{5}{6}\times 48000=5\times 8000=40000$

Thus, the total monthly expenditure of the family is ₹40,000.