What well Centre in place of the question mark (?) in the following questions?
86 % of ? + 54.5 = 162

Options

A. 250
B. 225
C. 140
D. none of these

Answer

To solve the equation \( 86\% \text{ of } ? + 54.5 = 162 \), we will follow these steps:

### Step 1: Isolate the percentage term
Start by moving \( 54.5 \) to the other side of the equation:
\[ 86\% \text{ of } ? = 162 - 54.5 \]

### Step 2: Perform the subtraction
Calculate \( 162 - 54.5 \):
\[ 162 - 54.5 = 107.5 \]
So now we have:
\[ 86\% \text{ of } ? = 107.5 \]

### Step 3: Convert percentage to decimal
Convert \( 86\% \) to a decimal:
\[ 86\% = \frac{86}{100} = 0.86 \]
Thus, we can rewrite the equation as:
\[ 0.86 \times ? = 107.5 \]

### Step 4: Solve for ?
To find \( ? \), divide both sides by \( 0.86 \):
\[ ? = \frac{107.5}{0.86} \]

### Step 5: Perform the division
Now, calculate \( \frac{107.5}{0.86} \):
\[ ? = 125 \]

### Final Answer
The value of \( ? \) is \( 125 \).

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