An article has marked price of Rs 6000 and is available at a discount of 10%. The shopkeeper gives another discount to the buyer and sells the article for Rs 4050. What is the second discount (in %) offered?

Options

A. 15
B. 20
C. 10
D. 25

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Calculate the Selling Price after the First Discount
The marked price of the article is Rs 6000, and the first discount is 10%.

First, we calculate the amount of the first discount:
\[ \text{First Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} = 6000 \times \frac{10}{100} = 600 \]

Now, we subtract the first discount from the marked price to find the selling price after the first discount:
\[ \text{Selling Price after First Discount} = \text{Marked Price} - \text{First Discount} = 6000 - 600 = 5400 \]

### Step 2: Determine the Selling Price after the Second Discount
The article is sold for Rs 4050. We need to find the second discount offered by the shopkeeper.

### Step 3: Calculate the Amount of the Second Discount
To find the second discount, we subtract the final selling price from the selling price after the first discount:
\[ \text{Second Discount} = \text{Selling Price after First Discount} - \text{Final Selling Price} = 5400 - 4050 = 1350 \]

### Step 4: Calculate the Percentage of the Second Discount
Now, we calculate the percentage of the second discount based on the selling price after the first discount:
\[ \text{Second Discount Percentage} = \left(\frac{\text{Second Discount}}{\text{Selling Price after First Discount}}\right) \times 100 = \left(\frac{1350}{5400}\right) \times 100 \]

Calculating the above expression:
\[ \text{Second Discount Percentage} = \left(\frac{1350}{5400}\right) \times 100 = 25\% \]

### Conclusion
The second discount offered by the shopkeeper is **25%**.

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