Ten articles bought at Rs 8, and sold at 8 for Rs10. Then the gain percent is

Options

A. 0.5625
B. 0.55
C. 0.5475
D. 0.5725

Answer

To solve the problem of finding the gain percent when ten articles are bought at Rs 8 and sold at 8 for Rs 10, we can follow these steps:

### Step 1: Calculate the Cost Price (CP)
The cost price for 10 articles is given as Rs 8.
- **CP for 10 articles** = Rs 8

### Step 2: Calculate the Selling Price (SP)
The selling price for 8 articles is Rs 10. To find the selling price for 10 articles, we can set up a proportion:
- **SP for 8 articles** = Rs 10
- **SP for 1 article** = Rs 10 / 8 = Rs 1.25
- **SP for 10 articles** = Rs 1.25 * 10 = Rs 12.5

### Step 3: Calculate the Profit
Profit can be calculated using the formula:
- **Profit** = Selling Price - Cost Price
- **Profit** = SP - CP = Rs 12.5 - Rs 8 = Rs 4.5

### Step 4: Calculate the Gain Percent
Gain percent can be calculated using the formula:
- **Gain Percent** = (Profit / Cost Price) * 100
- **Gain Percent** = (4.5 / 8) * 100

### Step 5: Simplify the Gain Percent Calculation
- **Gain Percent** = (4.5 / 8) * 100 = 0.5625 * 100 = 56.25%

### Conclusion
The gain percent is 56.25%.