`{:("Column A" , "Item A cost John $90 and item B cost him $100","ColumnB"),("Percentage of profit that John earned by selling item A with a profit of $10",,"Percentage of profit that John earned by selling item B with a profit of $10"):}`

Options

A. If column A is larger
B. If column B is larger
C. If the columns are equal
D. If there is not enough information to decide

Answer

To solve the problem, we need to calculate the percentage of profit John earned by selling two items, A and B, based on their cost prices and the profit he made from each.

### Step-by-Step Solution:

1. **Identify the Cost Prices:**
- Item A cost John $90.
- Item B cost John $100.

2. **Determine the Profit for Each Item:**
- Profit from selling Item A = $10.
- Profit from selling Item B = $10.

3. **Calculate the Percentage of Profit for Item A:**
- The formula for percentage profit is:
\[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
- For Item A:
\[ \text{Percentage Profit for Item A} = \left( \frac{10}{90} \right) \times 100 \]
- Calculate:
\[ \text{Percentage Profit for Item A} = \left( \frac{10}{90} \right) \times 100 = 11.11\% \]

4. **Calculate the Percentage of Profit for Item B:**
- Using the same formula for Item B:
\[ \text{Percentage Profit for Item B} = \left( \frac{10}{100} \right) \times 100 \]
- Calculate:
\[ \text{Percentage Profit for Item B} = \left( \frac{10}{100} \right) \times 100 = 10\% \]

5. **Compare the Percentages:**
- Percentage Profit for Item A = 11.11%
- Percentage Profit for Item B = 10%
- Since 11.11% (Item A) is greater than 10% (Item B), we conclude that Column A is larger than Column B.

6. **Select the Correct Option:**
- Based on the comparison, the correct option is that Column A is larger.

### Final Answer:
Column A is larger than Column B.

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