What approximate value will come in place of the question ,mark (?) in the given questions? (You are not expected to calculate the exact value)
`59.94%of(?xx8.03)-sqrt4227=6.92`

Options

A. 8
B. 10
C. 15
D. 28

Answer

To solve the equation \( 59.94\% \text{ of } (? \times 8.03) - \sqrt{4227} = 6.92 \), we will follow these steps:

### Step 1: Approximate the percentage
First, we approximate \( 59.94\% \) to \( 60\% \).

**Hint:** When dealing with percentages, rounding to the nearest whole number can simplify calculations.

### Step 2: Rewrite the equation
The equation can now be rewritten as:
\[ 60\% \text{ of } (? \times 8.03) - \sqrt{4227} = 6.92 \]

### Step 3: Convert percentage to decimal
Convert \( 60\% \) to a decimal:
\[ 60\% = 0.6 \]
Thus, the equation becomes:
\[ 0.6 \times (? \times 8.03) - \sqrt{4227} = 6.92 \]

### Step 4: Approximate the square root
Next, we approximate \( \sqrt{4227} \). Since \( \sqrt{4225} = 65 \) (because \( 65^2 = 4225 \)), we can say that \( \sqrt{4227} \) is approximately \( 65 \).

**Hint:** Knowing the squares of numbers can help you estimate square roots quickly.

### Step 5: Substitute the approximation
Substituting the approximation into the equation gives:
\[ 0.6 \times (? \times 8.03) - 65 = 6.92 \]

### Step 6: Solve for the unknown
Now, we can isolate the term with the unknown:
\[ 0.6 \times (? \times 8.03) = 6.92 + 65 \]
\[ 0.6 \times (? \times 8.03) = 71.92 \]

### Step 7: Divide by 0.6
Next, divide both sides by \( 0.6 \):
\[ ? \times 8.03 = \frac{71.92}{0.6} \]
Calculating \( \frac{71.92}{0.6} \) gives approximately \( 119.87 \).

### Step 8: Solve for ?
Now, we can isolate \( ? \):
\[ ? = \frac{119.87}{8.03} \]
Calculating this gives approximately \( 14.92 \).

### Step 9: Round to the nearest whole number
Rounding \( 14.92 \) gives \( 15 \).

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is \( 15 \).

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