What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
`?^(2) = 44.99% "of 4500.02" - 24.99% "of 3959.98" + 87.01 xx 2.97`

Options

A. 0
B. 16
C. 36
D. 56

Answer

To solve the equation \( ?^2 = 44.99\% \text{ of } 4500.02 - 24.99\% \text{ of } 3959.98 + 87.01 \times 2.97 \), we will approximate the values step by step.

### Step 1: Approximate the percentages
1. **Calculate \( 44.99\% \) of \( 4500.02 \)**:
- Approximate \( 44.99\% \) as \( 45\% \).
- So, \( 45\% \text{ of } 4500.02 \approx \frac{45}{100} \times 4500 = 0.45 \times 4500 = 2025 \).

**Hint**: Round percentages to the nearest whole number for easier calculations.

### Step 2: Approximate the second percentage
2. **Calculate \( 24.99\% \) of \( 3959.98 \)**:
- Approximate \( 24.99\% \) as \( 25\% \).
- So, \( 25\% \text{ of } 3959.98 \approx \frac{25}{100} \times 3960 = 0.25 \times 3960 = 990 \).

**Hint**: Use simple fractions for percentages to simplify calculations.

### Step 3: Calculate the multiplication
3. **Calculate \( 87.01 \times 2.97 \)**:
- Approximate \( 87.01 \) as \( 87 \).
- So, \( 87 \times 2.97 \approx 87 \times 3 = 261 \).

**Hint**: Round numbers to the nearest whole number for multiplication.

### Step 4: Combine the results
4. **Combine the results from Steps 1, 2, and 3**:
- Now substitute back into the equation:
\[ ?^2 = 2025 - 990 + 261 \]

### Step 5: Perform the arithmetic
5. **Calculate the final result**:
- First, calculate \( 2025 - 990 = 1035 \).
- Then, add \( 261 \):
\[ 1035 + 261 = 1296 \]
- Thus, we have \( ?^2 = 1296 \).

### Step 6: Find the value of ?
6. **Find the approximate value of \( ? \)**:
- To find \( ? \), take the square root of \( 1296 \):
\[ ? = \sqrt{1296} = 36 \]

### Conclusion
The approximate value that will come in place of the question mark (?) is **36**.

**Final Answer**: \( ? = 36 \)