CAT 2020 Slot 1 QA Question 15: 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 r

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 r

Accepted Answer

Let the purchase price of the desktop be $x$. Then the purchase price of the laptop is $50000 - x$.

The overall selling price is 2% more than Rs 50000.

Overall selling price = $50000 	imes 1.02 = 51000$

$1.2x + 0.9(50000 - x) = 51000$
$\Rightarrow 1.2x + 45000 - 0.9x = 51000$
$\Rightarrow 0.3x =

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