96% of the cost of a TV is ₹ 10464 what is its total cost ?

Answer

To find the total cost of the TV when 96% of its cost is ₹10464, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given information**: We know that 96% of the total cost of the TV is ₹10464.

2. **Set up the equation**: We can express this relationship mathematically. Let the total cost of the TV be represented as \( x \). Therefore, we can write:
\[ 96\% \text{ of } x = 10464 \]
This can be rewritten as:
\[ \frac{96}{100} \times x = 10464 \]

3. **Isolate \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by multiplying both sides by the reciprocal of \( \frac{96}{100} \):
\[ x = 10464 \times \frac{100}{96} \]

4. **Calculate \( \frac{100}{96} \)**: First, we calculate \( \frac{100}{96} \):
\[ \frac{100}{96} = 1.04166667 \text{ (approximately)} \]

5. **Multiply to find \( x \)**: Now, we can multiply ₹10464 by \( \frac{100}{96} \):
\[ x = 10464 \times 1.04166667 \approx 10900 \]

6. **Conclusion**: Therefore, the total cost of the TV is:
\[ x = ₹10900 \]

### Final Answer:
The total cost of the TV is ₹10900.

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