What approximate value will come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value.)
? `%` of(5216.11`-`8.03) = 1982.17`-`799.09

Options

A. 35
B. 14
C. 45
D. 23

Answer

To solve the problem step-by-step, we need to find the approximate value of the question mark (?) in the equation:

\[ ? \% \text{ of } (5216.11 - 8.03) = (1982.17 - 799.09) \]

### Step 1: Simplify the left side of the equation
First, we calculate \( 5216.11 - 8.03 \).

\[ 5216.11 - 8.03 \approx 5216 - 8 = 5208 \]

### Step 2: Simplify the right side of the equation
Next, we calculate \( 1982.17 - 799.09 \).

\[ 1982.17 - 799.09 \approx 1982 - 799 = 1183 \]

### Step 3: Set up the equation
Now we can set up the equation based on our simplifications:

\[ ? \% \text{ of } 5208 = 1183 \]

This can be expressed mathematically as:

\[ \frac{?}{100} \times 5208 = 1183 \]

### Step 4: Solve for the question mark (?)
To isolate the question mark, we rearrange the equation:

\[ ? = \frac{1183 \times 100}{5208} \]

### Step 5: Calculate the approximate value
Now we can perform the multiplication and division:

\[ ? \approx \frac{118300}{5208} \]

To simplify this division, we can estimate:

\[ 5208 \approx 5200 \]

Now we perform the division:

\[ ? \approx \frac{118300}{5200} \]

Calculating this gives:

\[ ? \approx 22.71 \]

### Step 6: Round to the nearest whole number
Since we need an approximate value, we round 22.71 to the nearest whole number:

\[ ? \approx 23 \]

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is **23**.

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