Find the value of ?
`14.5%of740-?%of 320=87.3`

Options

A. 6.75
B. 6.25
C. 12.5
D. 14.75

Answer

To solve the equation \( 14.5\% \text{ of } 740 - ?\% \text{ of } 320 = 87.3 \), we will follow these steps:

### Step 1: Calculate \( 14.5\% \text{ of } 740 \)

To find \( 14.5\% \text{ of } 740 \), we use the formula for percentage:

\[ 14.5\% \text{ of } 740 = \frac{14.5}{100} \times 740 \]

Calculating this gives:

\[ = \frac{14.5 \times 740}{100} = \frac{10730}{100} = 107.3 \]

### Step 2: Set up the equation

Now, we can substitute this value back into the original equation:

\[ 107.3 - ?\% \text{ of } 320 = 87.3 \]

### Step 3: Isolate \( ?\% \text{ of } 320 \)

To isolate \( ?\% \text{ of } 320 \), we rearrange the equation:

\[ ? \% \text{ of } 320 = 107.3 - 87.3 \]

Calculating the right side:

\[ ? \% \text{ of } 320 = 20 \]

### Step 4: Express \( ?\% \text{ of } 320 \) mathematically

Now, we express \( ?\% \text{ of } 320 \) in mathematical terms:

\[ ? \% \text{ of } 320 = \frac{?}{100} \times 320 \]

### Step 5: Set up the equation for \( ? \)

Now we have:

\[ \frac{?}{100} \times 320 = 20 \]

### Step 6: Solve for \( ? \)

To solve for \( ? \), we multiply both sides by 100:

\[ ? \times 320 = 2000 \]

Now, divide both sides by 320:

\[ ? = \frac{2000}{320} \]

Calculating this gives:

\[ ? = 6.25 \]

### Conclusion

The value of \( ? \) is \( 6.25 \).

---