If 11 metres cloth is purchased for 100 and is sold at the rate of 10 metres for₹ 110, then the profit percentage is :

Question

Accepted Answer

To determine the profit percentage, we need to calculate the cost price and the selling price per metre of cloth and then find the profit percentage based on these values.

1. **Cost Price Calculation:**
   - Total cost for 11 metres of cloth = ₹100
   - Cost price per metre = Total cost / Total metres = ₹100 / 11 ≈ ₹9.09

2. **Selling Price Calculation:**
   - Selling price for 10 metres of cloth = ₹110
   - Selling price per metre = Total selling price / Total metres = ₹110 / 10 = ₹11

3. **Profit Calculation:**
   - Profit per metre = Selling price per metre - Cost price per metre = ₹11 - ₹9.09 ≈ ₹1.91

4. **Profit Percentage Calculation:**
   - Profit percentage = (Profit per metre / Cost price per metre) × 100
   - Profit percentage = (₹1.91 / ₹9.09) × 100 ≈ 21%

Therefore, the profit percentage is approximately 21%, which corresponds to Option 4.

**Explanation for Incorrect Options:**

- **Option 1 (0.12):** This option suggests a profit percentage of 12%, which is significantly lower than the calculated profit percentage of approximately 21%. The calculation clearly shows that the profit per metre is much higher than what would correspond to a 12% profit.

- **Option 2 (0.17):** This option suggests a profit percentage of 17%. While closer to the correct answer than Option 1, it still underestimates the actual profit percentage. The detailed calculation shows that the profit percentage is higher.

- **Option 3 (0.19):** This option suggests a profit percentage of 19%. Although this is very close to the correct answer, the precise calculation yields a profit percentage of approximately 21%, making Option 4 the correct choice.

In conclusion, the correct profit percentage is approximately 21%, which is why Option 4 is the correct answer.