A person bought 6 articles for Rs. 5 and sold 5 articles for Rs. 6. The profit percentage is :

Question

Accepted Answer

To determine the profit percentage, we need to calculate the cost price (CP) and selling price (SP) for a single article and then find the profit percentage based on these values.

1. **Cost Price Calculation:**
   - A person buys 6 articles for Rs. 5.
   - Therefore, the cost price of 1 article = Total cost / Number of articles = Rs. 5 / 6 = Rs. 5/6 per article.

2. **Selling Price Calculation:**
   - The person sells 5 articles for Rs. 6.
   - Therefore, the selling price of 1 article = Total selling price / Number of articles = Rs. 6 / 5 = Rs. 6/5 per article.

3. **Profit Calculation:**
   - Profit per article = Selling Price - Cost Price = (Rs. 6/5) - (Rs. 5/6).
   - To calculate this, find a common denominator (30):
     - Convert Rs. 6/5 to Rs. 36/30.
     - Convert Rs. 5/6 to Rs. 25/30.
   - Profit per article = Rs. 36/30 - Rs. 25/30 = Rs. 11/30.

4. **Profit Percentage Calculation:**
   - Profit percentage = (Profit per article / Cost Price per article) * 100
   - Profit percentage = (Rs. 11/30) / (Rs. 5/6) * 100
   - Simplify the expression:
     - (11/30) * (6/5) = 66/150 = 0.44
   - Profit percentage = 0.44 * 100 = 44%

Therefore, the correct profit percentage is 44%, which corresponds to Option 4.

**Explanation for Incorrect Options:**

- **Option 1 (20%):** This option is incorrect because the calculated profit percentage is 44%, not 20%. The calculations clearly show that the profit margin is higher than 20%.

- **Option 2 (30%):** This option is incorrect because the actual profit percentage is 44%. The calculations demonstrate that the profit is more substantial than 30%.

- **Option 3 (40%):** This option is incorrect because the profit percentage is precisely calculated to be 44%. Although 40% is close, it does not match the exact calculated value.

In conclusion, the detailed calculations confirm that the correct profit percentage is 44%, making Option 4 the correct choice.