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CAT 2020 Quant Question [Slot 1] with Solution 10

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

Option: 20000
Solution:

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

i.e., 2: 3

\(\therefore \) The cost of desktop \( = \frac{2}{5} \times 50000\) i.e., ? 20,000

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