Final answer:
The original cost price of the laptop before any discount or loss was calculated as Rs 40,000 by dividing the discounted selling price of Rs 36,000 by 0.9, which represents the remaining percentage after a 10% loss.
Step-by-step explanation:
To find the original cost price of the laptop when sold at a loss of 10%, we need to consider the given condition that the laptop is also being sold at a 20% discount on the marked price of Rs 45,000. Let's start by calculating the selling price with the discount applied.
Discounted Selling Price = Marked Price - (Discount % of Marked Price)
Discounted Selling Price = Rs 45,000 - (20% of Rs 45,000)
Discounted Selling Price = Rs 45,000 - Rs 9,000
Discounted Selling Price = Rs 36,000
If the laptop is instead sold at a 10% loss, the loss is calculated on the original cost price. We have the selling price at a loss, which is 90% of the cost price.
Selling Price at 10% Loss = 90% of Cost Price
If we let the original cost price be 'C', we can set up the following equation:
Rs 36,000 = 90% of C
To find the cost price 'C', we divide the selling price by 0.9:
C = Rs 36,000 / 0.9
C = Rs 40,000
Therefore, the original cost price of the laptop before any discount or loss was Rs 40,000.