A man spends Rs 1800 monthly on an average for the first four months and Rs 2000 monthly for the next eight months and saves Rs 5600 a year. His average monthly income is:

Options

A. Rs 2000
B. Rs 2200
C. Rs 2400
D. Rs 2600

Answer

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

### Step 1: Calculate the total expenditure for the first four months.
The man spends Rs 1800 monthly for the first four months.

\[ \text{Total expenditure for first 4 months} = 4 \times 1800 = 7200 \]

### Step 2: Calculate the total expenditure for the next eight months.
The man spends Rs 2000 monthly for the next eight months.

\[ \text{Total expenditure for next 8 months} = 8 \times 2000 = 16000 \]

### Step 3: Calculate the total expenditure for the entire year.
Now, we can find the total expenditure for the entire year by adding the expenditures from both periods.

\[ \text{Total expenditure for the year} = 7200 + 16000 = 23200 \]

### Step 4: Calculate the total income for the year.
The man saves Rs 5600 in a year. Therefore, his total income can be calculated by adding his total savings to his total expenditure.

\[ \text{Total income} = \text{Total expenditure} + \text{Savings} = 23200 + 5600 = 28800 \]

### Step 5: Calculate the average monthly income.
To find the average monthly income, we divide the total income by the number of months in a year (12).

\[ \text{Average monthly income} = \frac{\text{Total income}}{12} = \frac{28800}{12} = 2400 \]

### Final Answer:
The average monthly income of the man is Rs 2400.

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