Karan baught a cycle. for Rs 3500 and later sold it. for Rs 2800, find his profit or loss percentage.

Answer

To solve the problem of Karan's cycle transaction, we will follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- The cost price (CP) of the cycle is Rs. 3500.
- The selling price (SP) of the cycle is Rs. 2800.

### Step 2: Determine if there is a Profit or Loss
- Since the cost price (CP) is greater than the selling price (SP), Karan incurs a loss.

### Step 3: Calculate the Loss
- The loss can be calculated using the formula:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]
- Substituting the values:
\[ \text{Loss} = 3500 - 2800 = 700 \]

### Step 4: Calculate the Loss Percentage
- The loss percentage can be calculated using the formula:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Loss Percentage} = \left( \frac{700}{3500} \right) \times 100 \]

### Step 5: Simplify the Calculation
- Simplifying the fraction:
\[ \frac{700}{3500} = \frac{1}{5} \]
- Now calculate the percentage:
\[ \text{Loss Percentage} = \left( \frac{1}{5} \right) \times 100 = 20 \]

### Final Answer
- Karan incurred a loss of **20%**.

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