Harjeet spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5% on medicines and the remaining amount of rs. 11250 he saves. what is his monthly income?

Options

A. a. rs.38200
B. b. rs.34000
C. c. rs.41600
D. d. rs.45000

Answer

To find Harjeet's monthly income, we can follow these steps:

### Step 1: Define the monthly income
Let Harjeet's monthly income be represented as \( I \).

### Step 2: Calculate the expenses
According to the problem:
- Harjeet spends 50% of his income on household items: \( 0.50I \)
- He spends 20% of his income on clothes: \( 0.20I \)
- He spends 5% of his income on medicines: \( 0.05I \)

### Step 3: Calculate total expenses
Now, we can add up all his expenses:
\[ \text{Total Expenses} = 0.50I + 0.20I + 0.05I = 0.75I \]

### Step 4: Calculate the savings
The remaining amount that Harjeet saves is given as Rs. 11,250. Since his total income is \( I \) and his total expenses are \( 0.75I \), we can express his savings as:
\[ \text{Savings} = I - \text{Total Expenses} = I - 0.75I = 0.25I \]

### Step 5: Set up the equation
We know that his savings amount to Rs. 11,250, so we can set up the equation:
\[ 0.25I = 11,250 \]

### Step 6: Solve for \( I \)
To find \( I \), we can rearrange the equation:
\[ I = \frac{11,250}{0.25} \]

Calculating this gives:
\[ I = 11,250 \times 4 = 45,000 \]

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

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