Marked price of a computer is Rs. 48000 and discount is 13%. What is additional discount (in per cent) should be offered to the customer to bring the price of computer to Rs.39672 ?

Options

A. 10
B. 5
C. 8
D. 9

Answer

To solve the problem, we need to find the additional discount percentage that should be offered to bring the price of the computer down to Rs. 39672 after an initial discount of 13% on the marked price of Rs. 48000.

### Step-by-Step Solution:

1. **Calculate the Initial Selling Price After 13% Discount:**
- The marked price (MP) of the computer is Rs. 48000.
- The discount percentage is 13%.
- The selling price (SP) after the discount can be calculated using the formula:
\[ SP = MP \times \left(1 - \frac{Discount\%}{100}\right) \]
- Substituting the values:
\[ SP = 48000 \times \left(1 - \frac{13}{100}\right) = 48000 \times 0.87 = 41760 \]

2. **Determine the Required Selling Price:**
- The required selling price to bring the price down to Rs. 39672 is already given.

3. **Calculate the Amount of Additional Discount Needed:**
- The additional discount can be calculated by finding the difference between the selling price after the initial discount and the required selling price.
- Additional Discount Amount (ADA) = Initial SP - Required SP
- Substituting the values:
\[ ADA = 41760 - 39672 = 2088 \]

4. **Calculate the Additional Discount Percentage:**
- The additional discount percentage can be calculated using the formula:
\[ Additional\ Discount\% = \left(\frac{ADA}{Initial\ SP}\right) \times 100 \]
- Substituting the values:
\[ Additional\ Discount\% = \left(\frac{2088}{41760}\right) \times 100 \approx 5\% \]

### Final Answer:
The additional discount that should be offered to the customer is approximately **5%**.