The average monthly expenditure of Ravi was 1100 during the first 3 months, 2200 during the next 4 months and 4620 during the subsequent five months of the year. If the total saving during the year was 2100, find Ravi's average monthly income.

Options

A. A) 1858
B. B) 3108.33
C. C) 3100
D. D) None of these

Answer

To find Ravi's average monthly income based on his expenditures and savings, we can follow these steps:

### Step 1: Calculate Total Expenditure for Each Period
1. **First 3 Months**: The average monthly expenditure is 1100.
\[ \text{Total expenditure for first 3 months} = 1100 \times 3 = 3300 \]

2. **Next 4 Months**: The average monthly expenditure is 2200.
\[ \text{Total expenditure for next 4 months} = 2200 \times 4 = 8800 \]

3. **Subsequent 5 Months**: The average monthly expenditure is 4620.
\[ \text{Total expenditure for subsequent 5 months} = 4620 \times 5 = 23100 \]

### Step 2: Calculate Total Expenditure for the Year
Now, we can sum up all the expenditures calculated above to find the total expenditure for the year.
\[ \text{Total Expenditure} = 3300 + 8800 + 23100 = 35200 \]

### Step 3: Calculate Total Income
Given that Ravi's total savings for the year is 2100, we can find his total income by adding his total expenditure to his savings.
\[ \text{Total Income} = \text{Total Expenditure} + \text{Total Savings} = 35200 + 2100 = 37300 \]

### Step 4: Calculate Average Monthly Income
To find the average monthly income, we divide the total income by the number of months in a year (12).
\[ \text{Average Monthly Income} = \frac{\text{Total Income}}{12} = \frac{37300}{12} \approx 3108.33 \]

### Final Answer
Ravi's average monthly income is approximately **3108.33**.

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