The average monthly expenditure of a family is Rs 2,200 during first three months, Rs 2,550 during next four months and Rs 3,120 during last five months of the year. If the total savings during the year was Rs 1,260, what is the average monthly income ?

Options

A. Rs 1,260
B. Rs 1,280
C. Rs 2,805
D. Rs 2,850

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 three months**:
- Average expenditure = Rs 2,200
- Total expenditure for three months = 2,200 × 3 = Rs 6,600

2. **Next four months**:
- Average expenditure = Rs 2,550
- Total expenditure for four months = 2,550 × 4 = Rs 10,200

3. **Last five months**:
- Average expenditure = Rs 3,120
- Total expenditure for five months = 3,120 × 5 = Rs 15,600

### Step 2: Calculate the total annual expenditure.
- Total expenditure for the year = Total from first three months + Total from next four months + Total from last five months
- Total expenditure = 6,600 + 10,200 + 15,600 = Rs 32,400

### Step 3: Use the total savings to find the total income.
- Given total savings for the year = Rs 1,260
- Total income = Total expenditure + Total savings
- Total income = 32,400 + 1,260 = Rs 33,660

### Step 4: Calculate the average monthly income.
- There are 12 months in a year.
- Average monthly income = Total income / 12
- Average monthly income = 33,660 / 12 = Rs 2,805

### Final Answer:
The average monthly income of the family is Rs 2,805.

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