An item of period price Rs. 840 is sold for Rs. 714; what is the discount percentage?

Question

Accepted Answer

To determine the discount percentage, we need to calculate the difference between the original price and the selling price, and then express this difference as a percentage of the original price.

1. **Calculate the Discount Amount:**
   - Original Price = Rs. 840
   - Selling Price = Rs. 714
   - Discount Amount = Original Price - Selling Price = Rs. 840 - Rs. 714 = Rs. 126

2. **Calculate the Discount Percentage:**
   - Discount Percentage = (Discount Amount / Original Price) × 100
   - Discount Percentage = (126 / 840) × 100

3. **Perform the Calculation:**
   - Discount Percentage = 0.15 × 100 = 15%

Therefore, the discount percentage is 15%, which corresponds to Option 3.

**Explanation for Other Options:**

- **Option 1 (0.2):** This option suggests a 20% discount. If the discount were 20%, the discount amount would be 20% of Rs. 840, which is Rs. 168. The selling price would then be Rs. 840 - Rs. 168 = Rs. 672, not Rs. 714. Therefore, Option 1 is incorrect.

- **Option 2 (0.22):** This option suggests a 22% discount. If the discount were 22%, the discount amount would be 22% of Rs. 840, which is Rs. 184.80. The selling price would then be Rs. 840 - Rs. 184.80 = Rs. 655.20, not Rs. 714. Therefore, Option 2 is incorrect.

- **Option 4 (0.25):** This option suggests a 25% discount. If the discount were 25%, the discount amount would be 25% of Rs. 840, which is Rs. 210. The selling price would then be Rs. 840 - Rs. 210 = Rs. 630, not Rs. 714. Therefore, Option 4 is incorrect.

In conclusion, the correct discount percentage is 15%, which is why Option 3 is the correct answer.