An article is listed at Rs15,000 and the discount offered is 12% What additional discount must be given to bring the net selling price to Rs12,078?

Options

A. `7.5%`
B. `8.5% `
C. `9% `
D. `4.8%`

Answer

To solve the problem step by step, we will calculate the additional discount required to bring the net selling price of the article to Rs. 12,078 after an initial discount of 12% on the listed price of Rs. 15,000.

### Step 1: Calculate the initial discount amount
The initial discount is given as 12% of the listed price.

\[ \text{Initial Discount} = \text{Listed Price} \times \frac{\text{Discount Percentage}}{100} \]

\[ \text{Initial Discount} = 15000 \times \frac{12}{100} = 15000 \times 0.12 = 1800 \]

### Step 2: Calculate the selling price after the initial discount
Now, we subtract the initial discount from the listed price to find the selling price after the initial discount.

\[ \text{Selling Price after Initial Discount} = \text{Listed Price} - \text{Initial Discount} \]

\[ \text{Selling Price after Initial Discount} = 15000 - 1800 = 13200 \]

### Step 3: Determine the required additional discount
We know that the net selling price should be Rs. 12,078. Therefore, we need to find the additional discount required to reduce the selling price from Rs. 13,200 to Rs. 12,078.

\[ \text{Required Additional Discount} = \text{Selling Price after Initial Discount} - \text{Net Selling Price} \]

\[ \text{Required Additional Discount} = 13200 - 12078 = 1122 \]

### Step 4: Calculate the percentage of the additional discount
Now, we need to find out what percentage this additional discount (Rs. 1,122) is of the selling price after the initial discount (Rs. 13,200).

\[ \text{Additional Discount Percentage} = \left( \frac{\text{Required Additional Discount}}{\text{Selling Price after Initial Discount}} \right) \times 100 \]

\[ \text{Additional Discount Percentage} = \left( \frac{1122}{13200} \right) \times 100 \approx 8.5\% \]

### Final Answer
The additional discount required to bring the net selling price to Rs. 12,078 is approximately **8.5%**.

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