Question

A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at 20% profit and the laptop at 10% loss. If overall he made a 2% profit then the purchase price, in rupees, of the desktop is

Answer 1

Using Alligation Rule, the ratio of cost prices of desktop and laptop will be

i.e., \(2: 3\)

∴ The cost of desktop \(=\frac{2}{5}×50000 \)  

\(=20,000\)

Answer 2

Let's write D for a desktop computer's pricing and L for a laptop. 

0.2 times D minus 0.1 times L is equivalent to 2% of 50000, which may be expressed more simply as 0.2D - 0.1L = 1000. 

From the above data, another equation is 2D - L = 10000. 

Additionally, D + L = 50000 is the total of the costs of a desktop plus a laptop. 

The answer to this system of equations is D = 20000.