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

CAT 2020 Question Paper | CAT Verbal Ability Slot 1

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

Started 8 months ago by Shashank in

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Answer : The answer is '20000'

Explanatory Answer

Cost of Desktop = D
Cost of Laptop = L
D + L = 50000 à Eq 1
1.2*D + 0.9*L = 51000 à Eq 2
Multiplying Eq 1 by 0.9 and subtracting with Eq 2
0.3*D = 6000
D = Rs. 20000