Question

A retailer sold a laptop at a loss of 5%. If he had sold it for Rs 6,000 more, he would have gained 10%. Find the cost price of the laptop.

a. Rs __ (cost price)
b. Rs __ (selling price)
c. Rs __ (profit)
d. Rs __ (loss)

Answer 1

To find the cost price of the laptop, set up two equations based on the given information, and solve for the cost price. Solving this equation will give us the cost price C of the laptop.

Step-by-step explanation:

To find the cost price of the laptop, we can set up two equations based on the information given:

Let C be the cost price of the laptop.

1. Selling price with a 5% loss: C - 0.05C = 0.95C

2. Selling price with a 10% profit: C + 0.1C = 1.1C

According to the problem, if the retailer had sold it for Rs 6,000 more, he would have gained 10%.

Therefore, we have the equation:

0.95C + 6000 = 1.1C

Solving this equation will give us the cost price C of the laptop.