What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
80.08% of 349.98 + 45.02% of 799.99 = ?% `xx` 255.95

Options

A. 300
B. 270
C. 235
D. 250

Answer

To find the approximate value that will come in place of the question mark (?) in the equation \(80.08\%\) of \(349.98 + 45.02\%\) of \(799.99 = ?\%\) of \(255.95\), we can follow these steps:

### Step-by-Step Solution:

1. **Approximate the percentages and values**:
- \(80.08\%\) can be approximated to \(80\%\).
- \(349.98\) can be approximated to \(350\).
- \(45.02\%\) can be approximated to \(45\%\).
- \(799.99\) can be approximated to \(800\).
- \(255.95\) can be approximated to \(256\).

So, we rewrite the equation as:
\[ 80\% \text{ of } 350 + 45\% \text{ of } 800 = ?\% \text{ of } 256 \]

2. **Calculate \(80\%\) of \(350\)**:
\[ 80\% \text{ of } 350 = \frac{80}{100} \times 350 = 280 \]

3. **Calculate \(45\%\) of \(800\)**:
\[ 45\% \text{ of } 800 = \frac{45}{100} \times 800 = 360 \]

4. **Add the two results**:
\[ 280 + 360 = 640 \]

5. **Set up the equation with the total**:
Now we have:
\[ 640 = ?\% \text{ of } 256 \]

6. **Convert the percentage equation**:
\[ ?\% \text{ of } 256 = \frac{?}{100} \times 256 \]
So, we can write:
\[ 640 = \frac{?}{100} \times 256 \]

7. **Solve for \(?\)**:
Rearranging gives:
\[ ? = \frac{640 \times 100}{256} \]

8. **Calculate the value**:
\[ ? = \frac{64000}{256} \approx 250 \]

Thus, the approximate value that comes in place of the question mark (?) is **250**.