An article has marked price of Rs 7200 and is available at a discount of `20%`. The shopkeeper gives another discount to the buyer and sells the article for Rs 4896. What is the second discount (in %) offered?

Options

A. 20
B. 12
C. 15
D. 10

Answer

To find the second discount offered by the shopkeeper, we will follow these steps:

### Step 1: Calculate the price after the first discount
The marked price of the article is Rs. 7200, and the first discount is 20%.

First, we calculate the amount of the first discount:
\[ \text{First Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} = 7200 \times \frac{20}{100} = 7200 \times 0.20 = 1440 \]

Now, we subtract the first discount from the marked price to find the price after the first discount:
\[ \text{Price after First Discount} = \text{Marked Price} - \text{First Discount} = 7200 - 1440 = 5760 \]

### Step 2: Calculate the selling price and the second discount
The selling price of the article is Rs. 4896. Now, we need to find out how much additional discount was given by the shopkeeper.

First, we find the difference between the price after the first discount and the selling price:
\[ \text{Second Discount Amount} = \text{Price after First Discount} - \text{Selling Price} = 5760 - 4896 = 864 \]

### Step 3: Calculate the second discount percentage
Now, we will calculate the second discount percentage based on the price after the first discount:
\[ \text{Second Discount Percentage} = \left(\frac{\text{Second Discount Amount}}{\text{Price after First Discount}}\right) \times 100 = \left(\frac{864}{5760}\right) \times 100 \]

Calculating this gives:
\[ \text{Second Discount Percentage} = \left(\frac{864}{5760}\right) \times 100 = 15\% \]

### Final Answer
The second discount offered by the shopkeeper is **15%**.

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