Rahul spends some part of his Income and saves the remaining part. The ratio of his expenditure and saving is `6 : 1`. If Rahul's Income Is Rs 42000, what will be his expenditure (in Rs.) ?

Options

A. 34000
B. 30000
C. 32000
D. 36000

Answer

To solve the problem step by step, we will use the information given about Rahul's income, expenditure, and savings.

### Step 1: Understand the ratio of expenditure to savings
The ratio of Rahul's expenditure to savings is given as \(6 : 1\). This means for every 6 parts of expenditure, there is 1 part of savings.

### Step 2: Define the variables
Let the common ratio be \(k\). Therefore:
- Expenditure = \(6k\)
- Savings = \(1k\)

### Step 3: Write the equation for total income
According to the problem, Rahul's income is the sum of his expenditure and savings. Therefore, we can write the equation as:
\[ \text{Income} = \text{Expenditure} + \text{Savings} \]
Substituting the values we defined:
\[ 42000 = 6k + 1k \]
This simplifies to:
\[ 42000 = 7k \]

### Step 4: Solve for \(k\)
To find the value of \(k\), we divide both sides of the equation by 7:
\[ k = \frac{42000}{7} \]
Calculating this gives:
\[ k = 6000 \]

### Step 5: Calculate the expenditure
Now that we have the value of \(k\), we can find the expenditure:
\[ \text{Expenditure} = 6k = 6 \times 6000 \]
Calculating this gives:
\[ \text{Expenditure} = 36000 \]

### Conclusion
Rahul's expenditure is Rs 36,000.

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