15% of 524-2% of 985 + ? = 20% of 423

Options

A. 25.9
B. 27.7
C. 25.7
D. 24.9

Explanation

To solve the equation \( 15\% \text{ of } 524 - 2\% \text{ of } 985 + ? = 20\% \text{ of } 423 \), we will follow these steps:

### Step 1: Calculate \( 15\% \text{ of } 524 \)
\[ 15\% \text{ of } 524 = \frac{15}{100} \times 524 = \frac{15 \times 524}{100} \]
Calculating \( 15 \times 524 \):
\[ 15 \times 524 = 7860 \]
Now, divide by 100:
\[ \frac{7860}{100} = 78.60 \]

### Step 2: Calculate \( 2\% \text{ of } 985 \)
\[ 2\% \text{ of } 985 = \frac{2}{100} \times 985 = \frac{2 \times 985}{100} \]
Calculating \( 2 \times 985 \):
\[ 2 \times 985 = 1970 \]
Now, divide by 100:
\[ \frac{1970}{100} = 19.70 \]

### Step 3: Calculate \( 20\% \text{ of } 423 \)
\[ 20\% \text{ of } 423 = \frac{20}{100} \times 423 = \frac{20 \times 423}{100} \]
Calculating \( 20 \times 423 \):
\[ 20 \times 423 = 8460 \]
Now, divide by 100:
\[ \frac{8460}{100} = 84.60 \]

### Step 4: Substitute the calculated values into the equation
Now we substitute the values we calculated into the original equation:
\[ 78.60 - 19.70 + ? = 84.60 \]

### Step 5: Simplify the left side
First, calculate \( 78.60 - 19.70 \):
\[ 78.60 - 19.70 = 58.90 \]
So the equation now looks like:
\[ 58.90 + ? = 84.60 \]

### Step 6: Solve for \( ? \)
To find \( ? \), we can rearrange the equation:
\[ ? = 84.60 - 58.90 \]
Calculating this gives:
\[ ? = 25.70 \]

### Final Answer
The value of \( ? \) is \( 25.70 \).

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