Sudha bought a bicycle for Rs 1680 and sold it for Rs 2310. Find the gain per cent.

Answer

To find the gain percent from the transaction of buying and selling a bicycle, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Cost Price (CP) and Selling Price (SP)**:
- Cost Price (CP) = Rs. 1680
- Selling Price (SP) = Rs. 2310

2. **Calculate the Profit**:
- Profit = Selling Price - Cost Price
- Profit = Rs. 2310 - Rs. 1680
- Profit = Rs. 630

3. **Use the Gain Percent Formula**:
- Gain Percent = (Profit / Cost Price) × 100
- Gain Percent = (Rs. 630 / Rs. 1680) × 100

4. **Simplify the Calculation**:
- First, divide Rs. 630 by Rs. 1680:
- Rs. 630 / Rs. 1680 = 21 / 56 (after simplifying by dividing both by 30)
- Now, multiply by 100:
- Gain Percent = (21 / 56) × 100

5. **Calculate Gain Percent**:
- To simplify further, divide 100 by 56:
- Gain Percent = 21 × (100 / 56)
- This can be calculated as:
- Gain Percent = 21 × 1.7857 (approximately)
- Gain Percent = 37.5%

### Final Answer:
- The gain percent is **37.5%**.