Final answer:
To achieve a 6.25% profit after a 15% discount on a laptop that cost Rs. 65,000, it should be marked at Rs. 81,250.
Step-by-step explanation:
A laptop is bought for Rs. 65,000, and to find out the marked price for a 6.25% gain after a 15% discount, we need to first calculate what the selling price needs to be to achieve that gain. To calculate the selling price that will give a 6.25% profit, we will use the following formula:
Selling Price = Cost Price + (Cost Price × Profit %)
Selling Price = 65,000 + (65,000 × 0.0625) = 65,000 + 4,062.50 = Rs. 69,062.50
Now, we have the selling price, but we need to account for a 15% discount off the marked price. Let's assume the marked price is M. The customer pays 85% of the marked price after the discount:
85% of M = 0.85M = Selling Price
So, 0.85M = 69,062.50 and now we solve for M:
M = 69,062.50 / 0.85
M = Rs. 81,250 (rounded to the nearest rupee)
Therefore, the laptop should be marked at Rs. 81,250 to achieve a 6.25% profit after giving a 15% discount.