Parveen spends `30%` of his monthly income on filling the petrol in the car he spends `1/4` th of the remaining income on house rent and he spends his remaining income on children’s education and food. If he spends Rs. 3000 on petrol what sum of money does he spend on house rent?

Options

A. Rs. 1375
B. Rs. 1750
C. Rs. 3400
D. Rs. 1500

Answer

To solve the problem step by step, we will follow the given information about Parveen's spending habits.

### Step 1: Determine Parveen's Monthly Income
We know that Parveen spends Rs. 3000 on petrol, which represents 30% of his monthly income.

Let his monthly income be \( x \).

According to the problem:
\[ 0.30x = 3000 \]

### Step 2: Solve for Monthly Income
To find \( x \), we rearrange the equation:
\[ x = \frac{3000}{0.30} \]
\[ x = 10000 \]

### Step 3: Calculate Remaining Income After Petrol
Now that we have Parveen's monthly income, we can calculate how much money he has left after spending on petrol:
\[ \text{Remaining Income} = x - \text{Amount spent on petrol} \]
\[ \text{Remaining Income} = 10000 - 3000 = 7000 \]

### Step 4: Calculate House Rent
Parveen spends \( \frac{1}{4} \) of his remaining income on house rent. Therefore:
\[ \text{House Rent} = \frac{1}{4} \times \text{Remaining Income} \]
\[ \text{House Rent} = \frac{1}{4} \times 7000 = 1750 \]

### Final Answer
Thus, the sum of money that Parveen spends on house rent is Rs. 1750.

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