The average monthly expenditure of a family for the first four months is Rs 2570, for the next three months Rs 2490 and for the last five months Rs 3030. If the family saves Rs 5320 during the whole year, the average monthly Income of the family during the year is:

Options

A. a) Rs 3000
B. b) Rs 3185
C. c) Rs 3200
D. d) Rs 3580

Answer

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

### Step 1: Calculate Total Expenditure for Each Period
1. **First Four Months**:
- Average monthly expenditure = Rs 2570
- Total expenditure for 4 months = 4 * 2570 = Rs 10280

2. **Next Three Months**:
- Average monthly expenditure = Rs 2490
- Total expenditure for 3 months = 3 * 2490 = Rs 7470

3. **Last Five Months**:
- Average monthly expenditure = Rs 3030
- Total expenditure for 5 months = 5 * 3030 = Rs 15150

### Step 2: Calculate Total Expenditure for the Year
- Total expenditure for the year = Total expenditure for first 4 months + Total expenditure for next 3 months + Total expenditure for last 5 months
- Total expenditure = Rs 10280 + Rs 7470 + Rs 15150 = Rs 32700

### Step 3: Calculate Total Income for the Year
- Given that the family saves Rs 5320 during the whole year, we can find the total income.
- Total income = Total expenditure + Total savings
- Total income = Rs 32700 + Rs 5320 = Rs 38020

### Step 4: Calculate Average Monthly Income
- Average monthly income = Total income / 12 (months)
- Average monthly income = Rs 38020 / 12 = Rs 3168.33 (approximately)

### Final Answer:
The average monthly income of the family during the year is approximately Rs 3168.33.

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