What will come in place of question mark (?) in the following questions.
55% of 900 + 70% of 1050 = ?% of 3000

Options

A. 41
B. 42
C. 43
D. 44

Answer

To solve the equation \(55\% \text{ of } 900 + 70\% \text{ of } 1050 = ?\% \text{ of } 3000\), we will follow these steps:

### Step 1: Convert percentages to decimals
We start by converting the percentages into fractions:
- \(55\% = \frac{55}{100}\)
- \(70\% = \frac{70}{100}\)

### Step 2: Calculate \(55\% \text{ of } 900\)
Now, calculate \(55\% \text{ of } 900\):
\[ 55\% \text{ of } 900 = \frac{55}{100} \times 900 = 55 \times 9 = 495 \]

### Step 3: Calculate \(70\% \text{ of } 1050\)
Next, calculate \(70\% \text{ of } 1050\):
\[ 70\% \text{ of } 1050 = \frac{70}{100} \times 1050 = 70 \times 10.5 = 735 \]

### Step 4: Add the results from Steps 2 and 3
Now, add the two results:
\[ 495 + 735 = 1230 \]

### Step 5: Set up the equation for \(? \% \text{ of } 3000\)
Now we set up the equation:
\[ 1230 = ?\% \text{ of } 3000 \]
This can be rewritten as:
\[ 1230 = \frac{?}{100} \times 3000 \]

### Step 6: Solve for \(?\)
To find \(?\), we can rearrange the equation:
\[ ? = \frac{1230 \times 100}{3000} \]
Calculating this gives:
\[ ? = \frac{123000}{3000} = 41 \]

### Conclusion
Thus, the value that comes in place of the question mark (?) is **41**.

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