When an article is sold at 20% discount, the selling price is Rs. 24. What will be the selling price when the discount is 30% ?

Question

Accepted Answer

To determine the selling price when the discount is 30%, we first need to understand the relationship between the original price, discount, and selling price.

1. **Calculate the Original Price:**
   - When the article is sold at a 20% discount, the selling price is Rs. 24.
   - Let the original price be $ P $.
   - A 20% discount means the selling price is 80% of the original price.
   - Therefore, $ 0.8P = 24 $.
   - Solving for $ P $, we get $ P = \frac{24}{0.8} = 30 $.

2. **Calculate the Selling Price with a 30% Discount:**
   - A 30% discount means the selling price is 70% of the original price.
   - Therefore, the selling price with a 30% discount is $ 0.7 \times 30 = 21 $.

Thus, the selling price when the discount is 30% is Rs. 21, which corresponds to Option 3.

**Explanation for Other Options:**

- **Option 1 (Rs. 25):** This option is incorrect because it does not reflect the correct calculation of the selling price with a 30% discount. The calculation shows that the selling price should be Rs. 21, not Rs. 25.

- **Option 2 (Rs. 23):** This option is incorrect because it does not match the calculated selling price of Rs. 21 when a 30% discount is applied. The calculation clearly shows that Rs. 23 is not the correct selling price.

- **Option 4 (Rs. 20):** This option is incorrect because it is lower than the calculated selling price of Rs. 21. The correct calculation shows that the selling price should be Rs. 21, not Rs. 20.

In conclusion, the correct selling price when the discount is 30% is Rs. 21, which is why Option 3 is the correct answer.