Simplify:- ?% of 950 + 782 = 1200

Options

A. a. 54
B. b. 44
C. c. 34
D. d. 64

Answer

To solve the equation \( ?\% \) of 950 + 782 = 1200, we can follow these steps:

### Step 1: Isolate the percentage term
We start with the equation:
\[ ? \% \text{ of } 950 + 782 = 1200 \]
To isolate the percentage term, we subtract 782 from both sides:
\[ ? \% \text{ of } 950 = 1200 - 782 \]

### Step 2: Perform the subtraction
Now we calculate the right side:
\[ 1200 - 782 = 418 \]
So we have:
\[ ? \% \text{ of } 950 = 418 \]

### Step 3: Convert percentage to a fraction
We can express \( ? \% \) as a fraction:
\[ \frac{?}{100} \times 950 = 418 \]

### Step 4: Solve for the percentage
To find \( ? \), we can rearrange the equation:
\[ ? = \frac{418 \times 100}{950} \]

### Step 5: Calculate the right side
Now we perform the multiplication and division:
\[ ? = \frac{41800}{950} \]

### Step 6: Simplify the fraction
We can simplify \( \frac{41800}{950} \):
- First, we can divide both the numerator and the denominator by 10:
\[ ? = \frac{4180}{95} \]
- Next, we perform the division:
\[ 4180 \div 95 = 44 \]

### Final Answer
Thus, the value of \( ? \) is:
\[ ? = 44 \]