Sujatha spends `18%` of her monthly income on house rent, `40%` of the income on groceries and `55%` of the remaining on her childern's education and other . If her monthly savings is Rs. 4,725 then her expenditure on 'education and other ' is
(a)Rs. 5,885
(b)Rs. 5,875
(c)Rs. 5,755
(d)Rs. 5,775

Options

A. Rs. 5,885
B. Rs. 5,875
C. Rs. 5,755
D. Rs. 5,775

Answer

To solve the problem step by step, we will first determine Sujatha's total monthly income based on her savings and expenditures.

### Step 1: Define the variables
Let Sujatha's monthly income be \( I \).

### Step 2: Calculate the total percentage spent on house rent and groceries
Sujatha spends:
- 18% on house rent
- 40% on groceries

Total percentage spent on house rent and groceries:
\[ 18\% + 40\% = 58\% \]

### Step 3: Calculate the remaining percentage after house rent and groceries
The remaining percentage of her income after these expenditures is:
\[ 100\% - 58\% = 42\% \]

### Step 4: Calculate the percentage spent on children's education and other expenses
Sujatha spends 55% of the remaining 42% on her children's education and other expenses. Therefore, the percentage of her total income spent on education and other expenses is:
\[ 55\% \text{ of } 42\% = \frac{55}{100} \times 42 = 23.1\% \]

### Step 5: Calculate the percentage saved
The percentage of her income that she saves is:
\[ 100\% - (58\% + 23.1\%) = 100\% - 81.1\% = 18.9\% \]

### Step 6: Set up the equation for savings
We know that Sujatha's monthly savings is Rs. 4,725. Therefore, we can set up the equation:
\[ 0.189 \times I = 4725 \]

### Step 7: Solve for \( I \)
To find \( I \), we rearrange the equation:
\[ I = \frac{4725}{0.189} \approx 24905.34 \]

### Step 8: Calculate the expenditure on children's education and other expenses
Now, we can calculate the amount spent on children's education and other expenses:
\[ \text{Expenditure on education and other} = 0.231 \times I \]
Substituting the value of \( I \):
\[ \text{Expenditure on education and other} = 0.231 \times 24905.34 \approx 5755 \]

### Final Answer
Thus, the expenditure on children's education and other expenses is approximately Rs. 5,755.