What approximate value will come in place of the question mark(?) in the following questions ? (You are not expected to calculate the exact value.)
`57%` of `394-2.5%` of 996=?

Options

A. 215
B. 175
C. 200
D. 180

Answer

To solve the problem step by step, we need to find the approximate value of the expression given:

**Expression:** \( 57\% \) of \( 394 - 2.5\% \) of \( 996 \)

### Step 1: Convert percentages to fractions
We can express the percentages as fractions:
- \( 57\% = \frac{57}{100} \)
- \( 2.5\% = \frac{2.5}{100} \)

### Step 2: Rewrite the expression
The expression can be rewritten as:
\[ \frac{57}{100} \times 394 - \frac{2.5}{100} \times 996 \]

### Step 3: Approximate the values
To simplify calculations, we can approximate the numbers:
- \( 394 \) can be approximated to \( 400 \)
- \( 996 \) can be approximated to \( 1000 \)

### Step 4: Substitute the approximated values
Now substituting the approximated values into the expression:
\[ \frac{57}{100} \times 400 - \frac{2.5}{100} \times 1000 \]

### Step 5: Calculate each term
1. Calculate \( \frac{57}{100} \times 400 \):
\[ \frac{57 \times 400}{100} = \frac{22800}{100} = 228 \]

2. Calculate \( \frac{2.5}{100} \times 1000 \):
\[ \frac{2.5 \times 1000}{100} = \frac{2500}{100} = 25 \]

### Step 6: Subtract the two results
Now, we subtract the second term from the first:
\[ 228 - 25 = 203 \]

### Step 7: Final approximation
The approximate value of the expression is \( 203 \).

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is **203**.

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