What approximate value should come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value) ?
58% of 494 - 3.5% of 896 = ?

Options

A. 350
B. 300
C. 315
D. 255

Answer

To solve the problem \( 58\% \text{ of } 494 - 3.5\% \text{ of } 896 = ? \), we will follow these steps:

### Step 1: Calculate 58% of 494
To find 58% of 494, we can convert the percentage into a fraction:
\[ 58\% = \frac{58}{100} \]
Now, we can multiply this fraction by 494:
\[ \frac{58}{100} \times 494 \]
Calculating this gives:
\[ 58 \times 494 = 28652 \]
Now, divide by 100:
\[ \frac{28652}{100} = 286.52 \]
Thus, \( 58\% \text{ of } 494 \approx 286.52 \).

### Step 2: Calculate 3.5% of 896
Similarly, we convert 3.5% into a fraction:
\[ 3.5\% = \frac{3.5}{100} \]
Now, multiply this fraction by 896:
\[ \frac{3.5}{100} \times 896 \]
Calculating this gives:
\[ 3.5 \times 896 = 3136 \]
Now, divide by 100:
\[ \frac{3136}{100} = 31.36 \]
Thus, \( 3.5\% \text{ of } 896 \approx 31.36 \).

### Step 3: Subtract the two results
Now we need to subtract the two results:
\[ 286.52 - 31.36 \]
Calculating this gives:
\[ 286.52 - 31.36 = 255.16 \]
Thus, the approximate value is:
\[ ? \approx 255.16 \]

### Conclusion
The approximate value that should come in place of the question mark (?) is \( 255 \).