A shopkeeper gives two successive discounts of 20% and 10% on the marked price of the article which is 600, how much would be the selling price (in Rs) of the article?
(a)432
(b)500
(c)450
(d)475

Options

A. 432
B. 500
C. 450
D. 475

Answer

To find the selling price of an article after applying two successive discounts, we can follow these steps:

1. **Identify the Marked Price and Discounts**:
- The marked price (MP) of the article is Rs. 600.
- The first discount (D1) is 20%.
- The second discount (D2) is 10%.

2. **Calculate the Selling Price after the First Discount**:
- The selling price after the first discount can be calculated using the formula:
\[ \text{Selling Price after D1} = \text{MP} \times \left(1 - \frac{D1}{100}\right) \]
- Substituting the values:
\[ \text{Selling Price after D1} = 600 \times \left(1 - \frac{20}{100}\right) = 600 \times 0.8 = 480 \]

3. **Calculate the Selling Price after the Second Discount**:
- Now, we apply the second discount (D2) on the new selling price:
\[ \text{Selling Price after D2} = \text{Selling Price after D1} \times \left(1 - \frac{D2}{100}\right) \]
- Substituting the values:
\[ \text{Selling Price after D2} = 480 \times \left(1 - \frac{10}{100}\right) = 480 \times 0.9 = 432 \]

4. **Final Selling Price**:
- The final selling price of the article after applying both discounts is Rs. 432.

Thus, the selling price of the article is **Rs. 432**.