What approximate value will come in place of the question mark (?) in the following question?
`224.99 -: 3.01 + 25.01% " of " ? = 520.01`

Options

A. 1760
B. 1805
C. 1780
D. 1689

Answer

To solve the equation \( 224.99 \div 3.01 + 25.01\% \text{ of } ? = 520.01 \), we will follow these steps:

### Step 1: Approximate the values
- **Approximate \( 224.99 \) to \( 225 \)**
- **Approximate \( 3.01 \) to \( 3 \)**
- **Approximate \( 25.01\% \) to \( 25\% \)**
- **Approximate \( 520.01 \) to \( 520 \)**

### Step 2: Rewrite the equation with approximated values
The equation now looks like this:
\[ 225 \div 3 + 25\% \text{ of } ? = 520 \]

### Step 3: Calculate \( 225 \div 3 \)
\[ 225 \div 3 = 75 \]

### Step 4: Substitute back into the equation
Now we substitute \( 75 \) back into the equation:
\[ 75 + 25\% \text{ of } ? = 520 \]

### Step 5: Isolate the percentage term
Subtract \( 75 \) from both sides:
\[ 25\% \text{ of } ? = 520 - 75 \]
\[ 25\% \text{ of } ? = 445 \]

### Step 6: Convert percentage to decimal
Convert \( 25\% \) to decimal:
\[ 25\% = \frac{25}{100} = 0.25 \]

### Step 7: Set up the equation
Now we can write:
\[ 0.25 \times ? = 445 \]

### Step 8: Solve for \( ? \)
To find \( ? \), divide both sides by \( 0.25 \):
\[ ? = \frac{445}{0.25} \]
\[ ? = 445 \times 4 = 1780 \]

### Final Answer
The approximate value that will come in place of the question mark (?) is \( 1780 \).