What well Centre in place of the question mark (?) in the following questions?
`(7 )/(12) " of" 48 % " of" 750 =?`

Options

A. 60
B. 360
C. 120
D. none of these

Answer

To solve the expression \( \frac{7}{12} \) of \( 48\% \) of \( 750 \), we will follow these steps:

### Step 1: Convert the percentage to a fraction
We know that \( 48\% \) can be expressed as a fraction:
\[ 48\% = \frac{48}{100} \]

### Step 2: Rewrite the expression
Now we can rewrite the expression:
\[ \frac{7}{12} \times \left(\frac{48}{100}\right) \times 750 \]

### Step 3: Simplify the expression
We can simplify the calculation step by step. First, we can calculate \( \frac{48}{100} \times 750 \):
\[ \frac{48}{100} \times 750 = \frac{48 \times 750}{100} \]
Calculating \( 48 \times 750 \):
\[ 48 \times 750 = 36000 \]
Now divide by \( 100 \):
\[ \frac{36000}{100} = 360 \]

### Step 4: Multiply by \( \frac{7}{12} \)
Now we have:
\[ \frac{7}{12} \times 360 \]
To simplify this, we can calculate:
\[ \frac{7 \times 360}{12} \]
Calculating \( 7 \times 360 \):
\[ 7 \times 360 = 2520 \]
Now divide by \( 12 \):
\[ \frac{2520}{12} = 210 \]

### Final Answer
Thus, the value that will replace the question mark (?) is:
\[ \boxed{210} \]

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