25% of 1020 - (?) % of 1220 = 72

Options

A. 5
B. 15
C. 25
D. 30

Answer

To solve the equation \( 25\% \text{ of } 1020 - (?)\% \text{ of } 1220 = 72 \), we can follow these steps:

### Step 1: Convert percentages to fractions
We start by expressing the percentages in fraction form. We can rewrite the equation as:
\[ \frac{25}{100} \times 1020 - \frac{X}{100} \times 1220 = 72 \]

### Step 2: Calculate \( 25\% \text{ of } 1020 \)
Now, we calculate \( 25\% \text{ of } 1020 \):
\[ \frac{25}{100} \times 1020 = \frac{25 \times 1020}{100} = \frac{25500}{100} = 255 \]
So, we can rewrite the equation:
\[ 255 - \frac{X}{100} \times 1220 = 72 \]

### Step 3: Rearrange the equation
Next, we can rearrange the equation to isolate the term with \( X \):
\[ 255 - 72 = \frac{X}{100} \times 1220 \]
This simplifies to:
\[ 183 = \frac{X}{100} \times 1220 \]

### Step 4: Solve for \( X \)
Now, we can solve for \( X \) by multiplying both sides by 100:
\[ 18300 = X \times 1220 \]
Next, we divide both sides by 1220:
\[ X = \frac{18300}{1220} \]

### Step 5: Simplify the fraction
Now we simplify \( \frac{18300}{1220} \):
\[ X = 15 \]

### Conclusion
Thus, the value of \( ? \) is \( 15 \).

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