What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate exact value)
`(1.01)/(4.99)xx24.97+10.01%of300.03-20.96=?`

Options

A. 22
B. 4
C. 18
D. 14

Answer

To find the approximate value of the expression `(1.01)/(4.99) * 24.97 + 10.01% of 300.03 - 20.96`, we can simplify each component step-by-step.

### Step 1: Approximate the Division
We start with the term `(1.01)/(4.99)`.
- **Approximation**:
- \( 1.01 \approx 1 \)
- \( 4.99 \approx 5 \)

So, we can rewrite it as:
\[ \frac{1.01}{4.99} \approx \frac{1}{5} = 0.2 \]

### Step 2: Approximate the Multiplication
Next, we multiply this result by `24.97`.
- **Approximation**:
- \( 24.97 \approx 25 \)

So, we have:
\[ 0.2 \times 25 = 5 \]

### Step 3: Calculate the Percentage
Now, we calculate `10.01% of 300.03`.
- **Approximation**:
- \( 10.01\% \approx 10\% \)
- \( 300.03 \approx 300 \)

Calculating \( 10\% \) of \( 300 \):
\[ 10\% \text{ of } 300 = \frac{10}{100} \times 300 = 30 \]

### Step 4: Approximate the Subtraction
Next, we need to subtract `20.96`.
- **Approximation**:
- \( 20.96 \approx 21 \)

So we can write:
\[ 30 - 21 = 9 \]

### Step 5: Combine All Parts
Now we combine all the approximated values:
\[ 5 + 30 - 21 = 5 + 9 = 14 \]

### Final Calculation
Putting it all together, we get:
\[ 0.2 \times 25 + 30 - 21 \approx 5 + 9 = 14 \]

Thus, the approximate value that will come in place of the question mark (?) is **14**.

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