What is the amount whose 24% is रु. 105 ?

Answer

To find the amount whose 24% is ₹105, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find an amount (let's call it \( x \)) such that 24% of \( x \) equals ₹105.

2. **Set Up the Equation**: We can express this mathematically as:
\[ 24\% \text{ of } x = 105 \]
This can be written as:
\[ \frac{24}{100} \times x = 105 \]

3. **Rearrange the Equation**: To isolate \( x \), we can multiply both sides of the equation by \( \frac{100}{24} \):
\[ x = 105 \times \frac{100}{24} \]

4. **Calculate \( \frac{100}{24} \)**: Simplifying \( \frac{100}{24} \):
\[ \frac{100}{24} = \frac{25}{6} \]

5. **Substitute Back**: Now substitute back into the equation for \( x \):
\[ x = 105 \times \frac{25}{6} \]

6. **Perform the Multiplication**: Calculate \( 105 \times 25 \):
\[ 105 \times 25 = 2625 \]

7. **Divide by 6**: Now divide \( 2625 \) by \( 6 \):
\[ x = \frac{2625}{6} = 437.5 \]

### Final Answer:
The amount whose 24% is ₹105 is **₹437.5**.

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