An aritcle has marked price of Rs 6500 and is available at a discount of 20%. The shopkeeper gives another discount to the buyer and sells the article for Rs 4160. What is the second discount (in %) offered?

Options

A. 20
B. 10
C. 30
D. 15

Answer

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

### Step 1: Calculate the Selling Price after the First Discount
The marked price of the article is Rs. 6500, and the first discount is 20%.

To find the selling price after the first discount, we calculate 80% of the marked price:

\[ \text{Selling Price after First Discount} = \text{Marked Price} \times (1 - \text{Discount Rate}) \]
\[ = 6500 \times (1 - 0.20) = 6500 \times 0.80 = 5200 \]

### Step 2: Determine the Actual Selling Price
The actual selling price given in the problem is Rs. 4160.

### Step 3: Calculate the Amount of the Second Discount
To find the amount of the second discount, we subtract the actual selling price from the selling price after the first discount:

\[ \text{Second Discount Amount} = \text{Selling Price after First Discount} - \text{Actual Selling Price} \]
\[ = 5200 - 4160 = 1040 \]

### Step 4: Calculate the Second Discount Percentage
To find the second discount percentage, we use the formula:

\[ \text{Second Discount Percentage} = \left( \frac{\text{Second Discount Amount}}{\text{Selling Price after First Discount}} \right) \times 100 \]
\[ = \left( \frac{1040}{5200} \right) \times 100 \]
\[ = 0.20 \times 100 = 20\% \]

### Final Answer
The second discount offered by the shopkeeper is **20%**.

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