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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
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
Updated On: Jan 15, 2026
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Solution and Explanation
The ratio of the cost prices of a desktop and a laptop, according to the Alligation Rule, is:
Assume the total cost is ₹50,000.
The cost of the desktop is given as \(\frac{2}{5}\) of the total cost.
Therefore, the cost of the desktop is calculated as: \[ \text{Cost of desktop} = \frac{2}{5} \times 50000 \] Performing the calculation: \[ = \frac{2 \times 50000}{5} = \frac{100000}{5} = 20000 \] Thus, the cost of the desktop is ₹20,000.
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