85%of420+?%of1080=735

Options

A. 25
B. 30
C. 35
D. 40

Answer

To solve the equation \( 85\% \text{ of } 420 + ?\% \text{ of } 1080 = 735 \), we can break it down into steps:

### Step 1: Calculate \( 85\% \text{ of } 420 \)
To find \( 85\% \text{ of } 420 \), we use the formula:
\[ \text{Percentage} = \frac{\text{Percent}}{100} \times \text{Total} \]
So,
\[ 85\% \text{ of } 420 = \frac{85}{100} \times 420 \]
Calculating this gives:
\[ = 0.85 \times 420 = 357 \]

### Step 2: Substitute the value into the equation
Now we substitute \( 357 \) back into the original equation:
\[ 357 + ?\% \text{ of } 1080 = 735 \]

### Step 3: Isolate the unknown percentage
To isolate \( ?\% \text{ of } 1080 \), we subtract \( 357 \) from both sides:
\[ ?\% \text{ of } 1080 = 735 - 357 \]
Calculating the right side gives:
\[ = 378 \]

### Step 4: Set up the equation for the unknown percentage
Now we need to express \( ?\% \text{ of } 1080 \) in terms of \( ? \):
\[ \frac{?}{100} \times 1080 = 378 \]

### Step 5: Solve for the unknown percentage
To find \( ? \), we can rearrange the equation:
\[ ? = \frac{378 \times 100}{1080} \]
Calculating the right side:
\[ ? = \frac{37800}{1080} = 35 \]

### Conclusion
Thus, the value of \( ? \) is \( 35 \).