The money spent on the repair of a house was `2%` of its value. If the cost of repair is Rs 9600, find the cost of the house.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
We know that the cost of the repair of the house is 2% of the total value of the house. We need to find out the total value of the house given that the cost of repair is Rs 9,600.

### Step 2: Set up the equation
Let the cost of the house be Rs X. According to the problem, we can express the relationship as:
\[ 2\% \text{ of } X = 9600 \]
This can be written mathematically as:
\[ \frac{2}{100} \times X = 9600 \]

### Step 3: Solve for X
To isolate X, we can rearrange the equation:
\[ X = \frac{9600}{\frac{2}{100}} \]
This simplifies to:
\[ X = 9600 \times \frac{100}{2} \]

### Step 4: Calculate the value
Now, we can perform the calculation:
\[ X = 9600 \times 50 \]
\[ X = 480000 \]

### Step 5: Conclusion
Thus, the cost of the house is Rs 4,80,000.

### Summary of the solution:
The cost of the house is Rs 4,80,000.

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