If the ratio of the cost price and selling price of an article is 5 : 6, then what will be the profit percentage?

Options

A. 10
B. 12
C. 15
D. 20

Answer

To find the profit percentage when the ratio of the cost price (CP) and selling price (SP) of an article is given as 5:6, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Ratio**:
- The ratio of the cost price to the selling price is given as 5:6. This means for every 5 parts of cost price, the selling price is 6 parts.

2. **Assigning Values**:
- Let the cost price (CP) be 5x and the selling price (SP) be 6x, where x is a common multiplier.

3. **Calculating Profit**:
- Profit is calculated as:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = SP - CP \]
- Substituting the values we assigned:
\[ \text{Profit} = 6x - 5x = x \]

4. **Calculating Profit Percentage**:
- Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{x}{5x} \right) \times 100 \]
- Simplifying this:
\[ \text{Profit Percentage} = \left( \frac{1}{5} \right) \times 100 = 20\% \]

5. **Conclusion**:
- Therefore, the profit percentage is 20%.