A man buys an article for Rs 27.5 and sells it for Rs 28.6. Find his gain percentage?

Answer

To find the gain percentage, we will follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- The cost price (CP) of the article is given as Rs 27.5.
- The selling price (SP) of the article is given as Rs 28.6.

### Step 2: Calculate the Profit
- Profit is calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
- Substituting the values:
\[ \text{Profit} = 28.6 - 27.5 = 1.1 \]
- Therefore, the profit is Rs 1.1.

### Step 3: Calculate the Gain Percentage
- The gain percentage is calculated using the formula:
\[ \text{Gain Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Gain Percentage} = \left( \frac{1.1}{27.5} \right) \times 100 \]

### Step 4: Simplify the Calculation
- First, calculate \( \frac{1.1}{27.5} \):
\[ \frac{1.1}{27.5} = \frac{11}{275} \quad \text{(Multiplying numerator and denominator by 10)} \]
- Now, calculate the gain percentage:
\[ \text{Gain Percentage} = \left( \frac{11}{275} \right) \times 100 \]
- This simplifies to:
\[ \text{Gain Percentage} = \frac{1100}{275} \]
- Dividing:
\[ \text{Gain Percentage} = 4 \]

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

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