Question

The following pie-chart indicates the monthly domestic budget of a family:

where A Food; B = Conveyance; C = Clothing: D = House Rent; E = Miscellaneous Expenses; F = Saving.
If the monthly saving of the family is Rs. 4500, then the monthly income of the family is:

• A. Rs. 45000
• B. Rs. 30000
• C. Rs. 25000
• D. Rs. 20000

Answer 1

The Correct Option is B

To find the monthly income of the family, we need to use the information given in the pie chart. The pie chart represents the distribution of the family's monthly budget, including categories like Food, Conveyance, Clothing, House Rent, Miscellaneous Expenses, and Savings. The segment 'F' represents Savings, which is given as Rs. 4500. 

From the pie chart, Savings (F) represents 15% of the total monthly income. We can use this percentage to find the total monthly income of the family.

The formula to calculate the total income based on the percentage and amount is:

\(\text{Savings} = \left( \frac{\text{Savings Percentage}}{100} \right) \times \text{Total Income}\)

Substituting the given values:

\(4500 = \left( \frac{15}{100} \right) \times \text{Total Income}\)

Now, solve for Total Income:

\(\text{Total Income} = \frac{4500 \times 100}{15}\)

\(\text{Total Income} = \frac{450000}{15}\)

\(\text{Total Income} = 30000\)

Therefore, the monthly income of the family is Rs. 30000.