What is the discount that Rohan should offer on the remaining ₹8,000 of a laptop priced at ₹48,000, given that, he has already given a 12% discount on the first ₹28,000 and 8% discount on the next ₹12,000 to match the discount amount of 9.5% given on the total price?

The correct option is ₹240.

Step-by-step solution:

1. Calculate the total discount expected on the total price:
The total price of the laptop = ₹48,000.
The required overall discount percentage = 9.5%.
Total discount required = 9.5% of ₹48,000

$\text{Total Discount}=\frac{9.5}{100}\times 48000=9.5\times 480=\text{₹4560}$

2. Calculate the discount given on the first part (₹28,000):
Discount percentage on the first ₹28,000 = 12%.

$\text{First Discount}=\frac{12}{100}\times 28000=12\times 280=\text{₹3360}$

3. Calculate the discount given on the second part (₹12,000):
Discount percentage on the next ₹12,000 = 8%.

$\text{Second Discount}=\frac{8}{100}\times 12000=8\times 120=\text{₹960}$

4. Calculate the sum of the first two discounts given:

$\text{Sum of Discounts Given}=3360+960=\text{₹4320}$

5. Calculate the remaining discount that Rohan needs to offer on the final ₹8,000:
Remaining discount = Total discount required - Sum of discounts already given

$\text{Remaining Discount}=4560-4320=\text{₹240}$

Thus, Rohan should offer a discount of ₹240 on the remaining ₹8,000.