Let's solve this step-by-step:
1. Identify the cost price and selling price:
- The shopkeeper bought the chair for Rs 350 (cost price).
- The shopkeeper sold the chair for Rs 400 (selling price).
2. Calculate the gain:
- The gain is the difference between the selling price and the cost price.
- Gain = Selling Price - Cost Price
- Gain = Rs 400 - Rs 350
- Gain = Rs 50
3. Calculate the gain percentage:
- The formula for gain percentage is:
[tex]\[
\text{Gain Percentage} = \left(\frac{\text{Gain}}{\text{Cost Price}}\right) \times 100
\][/tex]
- Plugging in the values:
[tex]\[
\text{Gain Percentage} = \left(\frac{50}{350}\right) \times 100
\][/tex]
- This calculation gives us approximately 14.2857%.
4. Determine the correct option:
- Comparing the calculated gain percentage with the given options:
- (A) 14%
- (B) 14.2%
- (C) 15%
- (D) 15.2%
- The gain percentage of approximately 14.2857% corresponds most closely to option (B).
Therefore, the correct answer is:
(B) 14.2%
