What should come in place of question mark (?) in the following questions ?
48% of 525 + ?% of 250 = 499

Options

A. 88.8
B. 76.6
C. 82.6
D. 98.8

Answer

To solve the equation \( 48\% \text{ of } 525 + ?\% \text{ of } 250 = 499 \), we will follow these steps:

### Step 1: Convert percentages to decimal form
First, we convert the percentages into decimal form.
- \( 48\% \) can be expressed as \( \frac{48}{100} \) or \( 0.48 \).
- Let \( ?\% \) be represented as \( \frac{?}{100} \).

### Step 2: Write the equation
Now, we can rewrite the equation:
\[ 0.48 \times 525 + \frac{?}{100} \times 250 = 499 \]

### Step 3: Calculate \( 48\% \text{ of } 525 \)
Next, we calculate \( 48\% \text{ of } 525 \):
\[ 0.48 \times 525 = 252 \]

### Step 4: Substitute the value into the equation
Now we substitute this value back into the equation:
\[ 252 + \frac{?}{100} \times 250 = 499 \]

### Step 5: Isolate the term with the question mark
To isolate the term with the question mark, we subtract 252 from both sides:
\[ \frac{?}{100} \times 250 = 499 - 252 \]
\[ \frac{?}{100} \times 250 = 247 \]

### Step 6: Solve for the question mark
Now, we multiply both sides by 100 to eliminate the fraction:
\[ ? \times 250 = 24700 \]
Next, we divide both sides by 250:
\[ ? = \frac{24700}{250} \]

### Step 7: Calculate the value of ?
Calculating the right-hand side:
\[ ? = 98.8 \]

### Final Answer
Thus, the value that should come in place of the question mark is \( 98.8 \).