The ratio of cost price and selling price of an article is 25:26. Find the gain percentage.

Options

A. a.6
B. b.5
C. c.4
D. d.3

Answer

To find the gain percentage based on the given ratio of cost price (CP) to selling price (SP), follow these steps:

### Step-by-Step Solution:

1. **Identify the Cost Price and Selling Price:**
- According to the problem, the ratio of cost price to selling price is given as 25:26.
- Let the cost price (CP) be 25x and the selling price (SP) be 26x, where x is a common multiplier.

2. **Calculate the Profit:**
- Profit is calculated as Selling Price minus Cost Price.
- Profit = SP - CP = 26x - 25x = 1x.
- Therefore, Profit = x.

3. **Calculate the Gain Percentage:**
- The formula for gain percentage is:
\[ \text{Gain Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values we have:
\[ \text{Gain Percentage} = \left( \frac{x}{25x} \right) \times 100 \]
- Simplifying this, we get:
\[ \text{Gain Percentage} = \left( \frac{1}{25} \right) \times 100 = 4\% \]

### Final Answer:
The gain percentage is **4%**.