The marked price of an article is Rs. 500. It is sold at successive discounts of 20% and 10%. The selling price of the article (in rupees) is :

Options

A. 350
B. 375
C. 360
D. 400

Answer

To find the selling price of an article with a marked price of Rs. 500 and successive discounts of 20% and 10%, we can follow these steps:

### Step 1: Calculate the first discount
The first discount is 20% of the marked price.
- Marked Price (MP) = Rs. 500
- First Discount = 20% of MP = (20/100) * 500 = Rs. 100

**Hint:** To find the amount of a percentage discount, multiply the percentage (as a fraction) by the marked price.

### Step 2: Calculate the price after the first discount
Subtract the first discount from the marked price to get the new price.
- Price after first discount = MP - First Discount = 500 - 100 = Rs. 400

**Hint:** After applying a discount, the new price is simply the original price minus the discount amount.

### Step 3: Calculate the second discount
The second discount is 10% of the new price (after the first discount).
- Second Discount = 10% of Price after first discount = (10/100) * 400 = Rs. 40

**Hint:** Always apply the second discount on the price after the first discount, not the original marked price.

### Step 4: Calculate the final selling price
Subtract the second discount from the price after the first discount.
- Selling Price = Price after first discount - Second Discount = 400 - 40 = Rs. 360

**Hint:** The final selling price is the price after the first discount minus the second discount.

### Final Answer
The selling price of the article is Rs. 360.

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