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 [This Question was asked as TITA]

• A. 10000
• B. 40000
• C. 20000
• D. 30000

Answer 1

The Correct Option is C

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 the price of desktop be \(x\) and the price of laptop be \(y\).
\(x+y = 50,000\)     \(…….. (1)\)
\(12x+0.9y = 50,000 \times 1.02\)
\(12x+0.9y = 51,000\)    \(……… (2)\)
From eq \((1)\) and eq \((2)\)
\(x = 20,000\)

So, the correct option is (C): 20,000.