What should come in place of the question mark (?), so that it satisfies equality of the given equation? 32% of 750 = ?

Options

A. 23% of 600
B. 46% of 207
C. 98% of 250
D. 75% of 320

Answer

To solve the equation \( 32\% \text{ of } 750 = ? \), we can follow these steps:

### Step 1: Convert the percentage to a fraction
To find 32% of 750, we first convert the percentage into a fraction:
\[ 32\% = \frac{32}{100} \]

**Hint:** Remember that percentage means "per hundred."

### Step 2: Multiply the fraction by 750
Now, we multiply the fraction by 750:
\[ \frac{32}{100} \times 750 \]

**Hint:** When multiplying fractions, multiply the numerator by the whole number.

### Step 3: Simplify the multiplication
We can simplify the multiplication:
\[ \frac{32 \times 750}{100} \]
To make calculations easier, we can simplify \( 750 \) by \( 100 \):
\[ 750 \div 100 = 7.5 \]
So, we have:
\[ 32 \times 7.5 \]

**Hint:** Dividing by 100 can help simplify the calculation before multiplying.

### Step 4: Calculate \( 32 \times 7.5 \)
Now, we calculate:
\[ 32 \times 7.5 = 240 \]

**Hint:** You can break down the multiplication into smaller parts if needed (e.g., \( 32 \times 7 + 32 \times 0.5 \)).

### Step 5: Conclusion
Thus, we find that:
\[ 32\% \text{ of } 750 = 240 \]

The value that should come in place of the question mark (?) is **240**.

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