?% of 900 + 500 = 4 `xx` 197

Options

A. 28
B. 25
C. 36
D. 32

Answer

To solve the equation given in the question, we will follow these steps:

**Step 1: Write down the equation.**
The equation given is:
\[ ?\% \text{ of } 900 + 500 = 4 \times 197 \]

**Step 2: Calculate \( 4 \times 197 \).**
Let's compute \( 4 \times 197 \):
\[ 4 \times 197 = 788 \]

**Step 3: Rewrite the equation with the calculated value.**
Now, substitute \( 788 \) back into the equation:
\[ ?\% \text{ of } 900 + 500 = 788 \]

**Step 4: Isolate the percentage term.**
Subtract \( 500 \) from both sides:
\[ ?\% \text{ of } 900 = 788 - 500 \]
\[ ?\% \text{ of } 900 = 288 \]

**Step 5: Convert the percentage to a fraction.**
We know that \( ?\% \) can be expressed as \( \frac{?}{100} \). So we rewrite the equation:
\[ \frac{?}{100} \times 900 = 288 \]

**Step 6: Simplify the equation.**
To isolate \( ? \), we can multiply both sides by \( 100 \):
\[ ? \times 900 = 28800 \]

**Step 7: Solve for \( ? \).**
Now, divide both sides by \( 900 \):
\[ ? = \frac{28800}{900} \]
Calculating this gives:
\[ ? = 32 \]

**Final Answer:**
The value of \( ? \) is \( 32 \).