What approximate value should come in place of the question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value.)
`41%of601-250.17=?-77%of910`

Options

A. 800
B. 500
C. 690
D. 760

Answer

To solve the equation \( 41\% \text{ of } 601 - 250.17 = ? - 77\% \text{ of } 910 \), we will follow these steps:

### Step 1: Calculate \( 41\% \text{ of } 601 \)
To find \( 41\% \) of \( 601 \), we can use the approximation:
\[ 41\% \approx \frac{41}{100} \times 601 \approx 0.41 \times 600 \]
Calculating this gives:
\[ 0.41 \times 600 = 246 \]

### Step 2: Subtract \( 250.17 \) from the result
Now we need to subtract \( 250.17 \) from \( 246 \):
\[ 246 - 250.17 \approx 246 - 250 \approx -4 \]

### Step 3: Calculate \( 77\% \text{ of } 910 \)
Next, we calculate \( 77\% \) of \( 910 \):
\[ 77\% \approx \frac{77}{100} \times 910 \approx 0.77 \times 900 \]
Calculating this gives:
\[ 0.77 \times 900 = 693 \]

### Step 4: Set up the equation
Now, we have the equation:
\[ -4 = ? - 693 \]

### Step 5: Solve for \( ? \)
To find \( ? \), we rearrange the equation:
\[ ? = -4 + 693 \]
Calculating this gives:
\[ ? \approx 689 \]

### Step 6: Round to the nearest approximate value
Since we are looking for an approximate value, we can round \( 689 \) to \( 690 \).

Thus, the approximate value that should come in place of the question mark (?) is:
\[ \boxed{690} \]