The average monthly expenditure of a family is ₹ 8160 for first 2 months, ₹ 12780 for next 5 months and ₹ 14280 for 5 months. If the family saves ₹ 66300 in the whole year, then what will be the average monthly income of the family?

Options

A. ₹18000
B. ₹18160
C. ₹18100
D. ₹18260

Answer

To find the average monthly income of the family, we will follow these steps:

### Step 1: Calculate the total expenditure for each period.
1. **First 2 months expenditure**:
- Average monthly expenditure = ₹ 8160
- Total expenditure for 2 months = 2 * ₹ 8160 = ₹ 16320

2. **Next 5 months expenditure**:
- Average monthly expenditure = ₹ 12780
- Total expenditure for 5 months = 5 * ₹ 12780 = ₹ 63900

3. **Last 5 months expenditure**:
- Average monthly expenditure = ₹ 14280
- Total expenditure for 5 months = 5 * ₹ 14280 = ₹ 71400

### Step 2: Calculate the total annual expenditure.
- Total expenditure for the year = Expenditure for first 2 months + Expenditure for next 5 months + Expenditure for last 5 months
- Total expenditure = ₹ 16320 + ₹ 63900 + ₹ 71400
- Total expenditure = ₹ 151620

### Step 3: Calculate the total income.
- Given that the family saves ₹ 66300 in the whole year, we can find the total income using the formula:
\[ \text{Total Income} = \text{Total Expenditure} + \text{Savings} \]
- Total Income = ₹ 151620 + ₹ 66300
- Total Income = ₹ 217920

### Step 4: Calculate the average monthly income.
- Average monthly income = Total Income / 12
- Average monthly income = ₹ 217920 / 12
- Average monthly income = ₹ 18160

### Final Answer:
The average monthly income of the family is ₹ 18160.

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