What approximate value will come in place of question mark (?) in the given question ? (You are not expected to calculate the exact value.)
`359.86-sqrt64.97=?% of 469.35`

Options

A. 70
B. 50
C. 75
D. 120

Answer

To solve the problem step by step, we will break down the equation and approximate the values involved.

### Step 1: Approximate the values
We start with the equation:
\[ 359.86 - \sqrt{64.97} = ?\% \text{ of } 469.35 \]

First, we approximate \( 359.86 \) to \( 360 \) since it is closer to \( 360 \).

### Step 2: Approximate the square root
Next, we need to approximate \( \sqrt{64.97} \). We know:
- \( \sqrt{64} = 8 \)
- \( \sqrt{81} = 9 \)

Since \( 64.97 \) is close to \( 64 \), we can approximate \( \sqrt{64.97} \) to \( 8 \).

### Step 3: Calculate the left side
Now we calculate:
\[ 360 - 8 = 352 \]

### Step 4: Approximate the percentage calculation
Now we need to find \( ?\% \) of \( 469.35 \). We can approximate \( 469.35 \) to \( 469 \).

The equation now looks like:
\[ 352 = ?\% \text{ of } 469 \]

We can express this as:
\[ ? = \frac{352}{469} \times 100 \]

### Step 5: Simplify the division
To simplify \( \frac{352}{469} \), we can estimate:
- \( 469 \) is close to \( 470 \).

So, we can rewrite it as:
\[ ? \approx \frac{352}{470} \times 100 \]

### Step 6: Calculate the approximate value
Now, we can simplify \( \frac{352}{470} \):
- \( \frac{352}{470} \approx 0.75 \) (since \( 352 \) is about \( 350 \) and \( 470 \) is about \( 500 \))

Now multiplying by \( 100 \):
\[ ? \approx 0.75 \times 100 = 75 \]

### Step 7: Final approximation
Since \( 75 \) is a rounded figure, we can conclude that the approximate value of \( ? \) is \( 70 \) (as it is the closest option available).

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{70} \]