A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the savings is `37 : 6`. If his monthly income is Rs. 8170, the amount of his monthly savings is:

Options

A. Rs 870
B. Rs 1140
C. Rs 980
D. Rs 780

Answer

To solve the problem step by step, we will follow the given information about the man's expenditure and savings.

### Step 1: Understand the Ratios
The ratio of the man's expenditure to his savings is given as \( 37:6 \). This means that for every 37 parts of expenditure, there are 6 parts of savings.

### Step 2: Define Variables
Let:
- Expenditure = \( 37x \)
- Savings = \( 6x \)

Here, \( x \) is a common multiplier.

### Step 3: Set Up the Equation
According to the problem, the total income is the sum of expenditure and savings. Therefore, we can write the equation as:
\[ \text{Expenditure} + \text{Savings} = \text{Total Income} \]
Substituting the values we defined:
\[ 37x + 6x = 8170 \]

### Step 4: Combine Like Terms
Combine the terms on the left side:
\[ 43x = 8170 \]

### Step 5: Solve for \( x \)
To find the value of \( x \), divide both sides of the equation by 43:
\[ x = \frac{8170}{43} \]
Calculating this gives:
\[ x = 190 \]

### Step 6: Calculate Monthly Savings
Now that we have the value of \( x \), we can find the monthly savings:
\[ \text{Savings} = 6x = 6 \times 190 = 1140 \]

### Conclusion
The amount of the man's monthly savings is Rs. 1140.

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