A man spends an average of र1694. 70 per month for the first 7 month and र1810.50 per month for the next 5 months. His monthly salary if he saves र 3084.60 during the whole year is

Options

A. र2400
B. र 300
C. र 1000
D. र 2000

Answer

To find the monthly salary of the man based on his spending and savings, we can follow these steps:

### Step 1: Calculate the total expenditure for the first 7 months.
The man spends an average of ₹1694.70 per month for the first 7 months.

\[ \text{Total expenditure for the first 7 months} = 7 \times 1694.70 \]

Calculating this gives:

\[ 7 \times 1694.70 = 11863.90 \]

### Step 2: Calculate the total expenditure for the next 5 months.
The man spends an average of ₹1810.50 per month for the next 5 months.

\[ \text{Total expenditure for the next 5 months} = 5 \times 1810.50 \]

Calculating this gives:

\[ 5 \times 1810.50 = 9052.50 \]

### Step 3: Calculate the total expenditure for the whole year.
Now, we add the total expenditures from both periods:

\[ \text{Total annual expenditure} = 11863.90 + 9052.50 \]

Calculating this gives:

\[ 11863.90 + 9052.50 = 20916.40 \]

### Step 4: Calculate the average monthly expenditure.
To find the average monthly expenditure, we divide the total annual expenditure by 12:

\[ \text{Average monthly expenditure} = \frac{20916.40}{12} \]

Calculating this gives:

\[ \frac{20916.40}{12} = 1743.03 \]

### Step 5: Calculate the total savings for the year.
The man saves ₹3084.60 during the whole year.

### Step 6: Calculate the average monthly savings.
To find the average monthly savings, we divide the total savings by 12:

\[ \text{Average monthly savings} = \frac{3084.60}{12} \]

Calculating this gives:

\[ \frac{3084.60}{12} = 257.05 \]

### Step 7: Calculate the monthly salary.
The monthly salary can be calculated by adding the average monthly expenditure and the average monthly savings:

\[ \text{Monthly salary} = \text{Average monthly expenditure} + \text{Average monthly savings} \]

Substituting the values we found:

\[ \text{Monthly salary} = 1743.03 + 257.05 \]

Calculating this gives:

\[ 1743.03 + 257.05 = 2000.08 \]

### Final Answer:
The monthly salary of the man is approximately ₹2000.

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