What approximate value will come in place of questions mark (?) in the following questions?
`65%" of "701-231.17=?-33%" of "689`

Options

A. 430
B. 450
C. 460
D. 470

Answer

To solve the equation \( 65\% \text{ of } 701 - 231.17 = ? - 33\% \text{ of } 689 \), we will follow these steps:

### Step 1: Convert percentages to decimals
First, we convert the percentages into decimal form:
- \( 65\% = \frac{65}{100} = 0.65 \)
- \( 33\% = \frac{33}{100} = 0.33 \)

### Step 2: Calculate \( 65\% \text{ of } 701 \)
Now, we calculate \( 65\% \text{ of } 701 \):
\[ 0.65 \times 701 = 456.65 \]

### Step 3: Substitute the values into the equation
Now, we substitute this value into the equation:
\[ 456.65 - 231.17 = ? - (0.33 \times 689) \]

### Step 4: Calculate \( 33\% \text{ of } 689 \)
Next, we calculate \( 33\% \text{ of } 689 \):
\[ 0.33 \times 689 = 227.37 \]

### Step 5: Substitute this value back into the equation
Now, we substitute this value back into the equation:
\[ 456.65 - 231.17 = ? - 227.37 \]

### Step 6: Calculate the left side of the equation
Now, we calculate the left side:
\[ 456.65 - 231.17 = 225.48 \]

### Step 7: Rearrange the equation to solve for ?
Now, we rearrange the equation to solve for \( ? \):
\[ 225.48 = ? - 227.37 \]
Adding \( 227.37 \) to both sides gives:
\[ ? = 225.48 + 227.37 \]

### Step 8: Calculate the final value
Now, we calculate this sum:
\[ ? = 452.85 \]

### Step 9: Round to the nearest approximate value
The approximate value of \( ? \) is \( 450 \).

### Final Answer:
The approximate value that will come in place of the question mark (?) is **450**.

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