Ram spends 50% of his montly income on household items , 20% of his monthly income on buying clothes , 5% of his monthly income on medicines and savs remaining Rs. 11,250. What is Ram's monthly income ?

Options

A. Rs. 38,200
B. Rs. 34,000
C. Rs. 41,600
D. Rs. 45,000

Explanation

To find Ram's monthly income based on the information provided, we can follow these steps:

### Step 1: Define Ram's Monthly Income
Let's assume Ram's monthly income is represented as \( x \).

### Step 2: Calculate Expenditures
According to the problem:
- Ram spends 50% of his income on household items: \( 0.5x \)
- He spends 20% of his income on clothes: \( 0.2x \)
- He spends 5% of his income on medicines: \( 0.05x \)

### Step 3: Calculate Total Expenditure
Now, we can calculate the total expenditure:
\[ \text{Total Expenditure} = 0.5x + 0.2x + 0.05x \]
Combining these:
\[ \text{Total Expenditure} = (0.5 + 0.2 + 0.05)x = 0.75x \]

### Step 4: Calculate Savings
According to the problem, Ram saves the remaining amount, which is given as Rs. 11,250. Therefore, we can express his savings as:
\[ \text{Savings} = x - \text{Total Expenditure} \]
Substituting the total expenditure:
\[ \text{Savings} = x - 0.75x = 0.25x \]

### Step 5: Set Up the Equation
We know from the problem that his savings amount to Rs. 11,250:
\[ 0.25x = 11,250 \]

### Step 6: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{11,250}{0.25} \]
Calculating this gives:
\[ x = 11,250 \times 4 = 45,000 \]

### Conclusion
Thus, Ram's monthly income is Rs. 45,000.

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