What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)
`?%of(813.97xx3.08)=754.08+467.06`

Options

A. 50
B. 46
C. 35
D. 55

Answer

To solve the equation given in the question, we will follow these steps:

1. **Set up the equation**: We start with the equation given in the question:
\[ ?\% \text{ of } (813.97 \times 3.08) = 754.08 + 467.06 \]

2. **Approximate the values**: We will round the numbers to make calculations easier:
- Approximate \(813.97\) to \(814\)
- Approximate \(3.08\) to \(3\)
- Approximate \(754.08\) to \(754\)
- Approximate \(467.06\) to \(467\)

So the equation simplifies to:
\[ ?\% \text{ of } (814 \times 3) = 754 + 467 \]

3. **Calculate the right side**: Now we can calculate the right side:
\[ 754 + 467 = 1221 \]

4. **Calculate the left side**: Next, we calculate the left side:
\[ 814 \times 3 = 2442 \]

5. **Set up the new equation**: Now we can rewrite the equation as:
\[ \frac{?}{100} \times 2442 = 1221 \]

6. **Isolate the question mark**: To find the value of \(?\), we can rearrange the equation:
\[ ? = \frac{1221 \times 100}{2442} \]

7. **Simplify the fraction**: We can simplify \(\frac{1221}{2442}\):
- Notice that \(2442\) is approximately \(2 \times 1221\), so:
\[ \frac{1221}{2442} \approx \frac{1}{2} \]

8. **Calculate the final value**: Therefore:
\[ ? \approx \frac{1}{2} \times 100 = 50 \]

Thus, the approximate value that should come in place of the question mark (?) is **50**.