What will come in place of question mark (?) in the following questions ?
52% of `8540 + 15%` of 7860 = ? + 2540

Options

A. 3079.8
B. 3518.25
C. 2968.62
D. 3268.7

Answer

To solve the equation \( 52\% \text{ of } 8540 + 15\% \text{ of } 7860 = ? + 2540 \), we will follow these steps:

### Step 1: Calculate \( 52\% \text{ of } 8540 \)
To find \( 52\% \text{ of } 8540 \), we can use the formula:
\[ \text{Percentage} = \left( \frac{\text{Percentage Rate}}{100} \right) \times \text{Total} \]
So,
\[ 52\% \text{ of } 8540 = \left( \frac{52}{100} \right) \times 8540 \]
Calculating this gives:
\[ = 0.52 \times 8540 = 4440.8 \]

### Step 2: Calculate \( 15\% \text{ of } 7860 \)
Now, we calculate \( 15\% \text{ of } 7860 \):
\[ 15\% \text{ of } 7860 = \left( \frac{15}{100} \right) \times 7860 \]
Calculating this gives:
\[ = 0.15 \times 7860 = 1179 \]

### Step 3: Add the results from Step 1 and Step 2
Now, we add the two results:
\[ 4440.8 + 1179 = 5619.8 \]

### Step 4: Set up the equation
We now have:
\[ 5619.8 = ? + 2540 \]

### Step 5: Solve for the question mark (?)
To find the value of \( ? \), we can rearrange the equation:
\[ ? = 5619.8 - 2540 \]
Calculating this gives:
\[ ? = 3079.8 \]

### Final Answer
Thus, the value that comes in place of the question mark is:
\[ \boxed{3079.8} \]

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