Raghav spent Rs. 55760 on the interior decoration for his home, Rs. 37896 on buying are conditioner and the remaining `54%` of the total amount he had as cash with him. What was the total amount ?

Options

A. Rs. 203600
B. Rs. 102300
C. Rs. 134560
D. Rs. 230600

Answer

To find the total amount Raghav had, we can set up the problem step by step. Let's denote the total amount Raghav had as \( X \).

1. **Identify the amounts spent**:
- Raghav spent Rs. 55,760 on interior decoration.
- He also spent Rs. 37,896 on buying an air conditioner.

2. **Calculate the total amount spent**:
\[ \text{Total spent} = 55760 + 37896 \]
\[ \text{Total spent} = 93656 \]

3. **Determine the remaining amount**:
According to the problem, the remaining amount is 54% of the total amount \( X \). Therefore, we can express this as:
\[ \text{Remaining amount} = X - 93656 \]

4. **Set up the equation**:
Since the remaining amount is also equal to 54% of \( X \), we can write:
\[ X - 93656 = 0.54X \]

5. **Rearranging the equation**:
To isolate \( X \), we can rearrange the equation:
\[ X - 0.54X = 93656 \]
\[ 0.46X = 93656 \]

6. **Solve for \( X \)**:
Now, divide both sides by 0.46 to find \( X \):
\[ X = \frac{93656}{0.46} \]
\[ X = 203,000 \]

Thus, the total amount Raghav had is **Rs. 203,000**.