A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his saving is `26 : 3`. If his monthly income is Rs 7250, what is the amount of his monthly savings?

Options

A. Rs 350
B. Rs 290
C. Rs 750
D. Rs 780

Answer

To solve the problem step by step, we will follow the given information and use the ratio of expenditure to savings to find the monthly savings.

### Step 1: Understand the given ratio
The ratio of the man's expenditure to his savings is given as \(26:3\). This means that for every 26 parts of expenditure, there are 3 parts of savings.

### Step 2: Define variables based on the ratio
Let the common ratio be \(K\). Therefore, we can express:
- Expenditure = \(26K\)
- Savings = \(3K\)

### Step 3: Write the equation for total income
According to the problem, the total income is the sum of expenditure and savings. Therefore, we can write:
\[ \text{Income} = \text{Expenditure} + \text{Savings} \]
Substituting the values we defined:
\[ 7250 = 26K + 3K \]

### Step 4: Simplify the equation
Combine the terms on the right side:
\[ 7250 = 29K \]

### Step 5: Solve for \(K\)
To find \(K\), divide both sides of the equation by 29:
\[ K = \frac{7250}{29} \]
Calculating this gives:
\[ K = 250 \]

### Step 6: Calculate the savings
Now that we have the value of \(K\), we can find the savings:
\[ \text{Savings} = 3K = 3 \times 250 = 750 \]

### Conclusion
The amount of the man's monthly savings is Rs 750.

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