What will come in place of (?) in the following questions ?
`(54% "of ?")/(56 + 8 xx 2) = (3)^(2)`

Options

A. 1050
B. 1200
C. 1140
D. 1180

Answer

To solve the equation \((54\% \text{ of } ?)/(56 + 8 \times 2) = (3)^{2}\), we will follow these steps:

1. **Calculate the right side of the equation**:
\[ (3)^{2} = 9 \]

2. **Calculate the denominator**:
\[ 56 + 8 \times 2 = 56 + 16 = 72 \]

3. **Set up the equation**:
Now we can rewrite the equation as:
\[ \frac{54\% \text{ of } ?}{72} = 9 \]

4. **Cross-multiply to eliminate the fraction**:
\[ 54\% \text{ of } ? = 72 \times 9 \]

5. **Calculate \(72 \times 9\)**:
\[ 72 \times 9 = 648 \]

6. **Convert \(54\%\) to a decimal**:
\[ 54\% = \frac{54}{100} = 0.54 \]

7. **Set up the equation for the unknown**:
\[ 0.54 \times ? = 648 \]

8. **Solve for ?**:
\[ ? = \frac{648}{0.54} \]

9. **Calculate the value**:
\[ ? = 1200 \]

Thus, the value that comes in place of (?) is **1200**.