What will come in place of the question mark (?) in the following question?
52.5% of 800 + 30.5% of 2800 = ? + 87.30

Options

A. A) 1096.30
B. B) 1226.70
C. B) 1226.70
D. D) 1186.70

Answer

To solve the equation \( 52.5\% \text{ of } 800 + 30.5\% \text{ of } 2800 = ? + 87.30 \), we will follow these steps:

### Step 1: Convert percentages to decimals and calculate
First, we need to calculate \( 52.5\% \text{ of } 800 \) and \( 30.5\% \text{ of } 2800 \).

1. **Calculate \( 52.5\% \text{ of } 800 \)**:
\[ 52.5\% = \frac{52.5}{100} = 0.525 \]
\[ 52.5\% \text{ of } 800 = 0.525 \times 800 = 420 \]

2. **Calculate \( 30.5\% \text{ of } 2800 \)**:
\[ 30.5\% = \frac{30.5}{100} = 0.305 \]
\[ 30.5\% \text{ of } 2800 = 0.305 \times 2800 = 854 \]

### Step 2: Add the results from Step 1
Now, we add the two results together:
\[ 420 + 854 = 1274 \]

### Step 3: Set up the equation
Now, we can set up the equation based on the original problem:
\[ 1274 = ? + 87.30 \]

### Step 4: Solve for the question mark (?)
To find the value of the question mark (?), we will isolate it:
\[ ? = 1274 - 87.30 \]
\[ ? = 1186.70 \]

### Final Answer
The value that comes in place of the question mark (?) is \( 1186.70 \).

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