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Purchase price of desktop

CAT 2020 Slot 1 · Quantitative Ability · Easy · Profit & Loss

This is an easy Quantitative Ability question from the CAT 2020 Slot 1 paper. It tests Profit & Loss. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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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

(TITA)

Answer

20000

Explanation

We can use the rule of Alligation on percentage profit/loss:

Desktop Profit: +20%+20\% Laptop Profit: −10%-10\% Overall Profit: +2%+2\%

Ratio of Cost Price of Desktop to Laptop: =(2−(−10)):(20−2)=12:18=2:3= (2 - (-10)) : (20 - 2) = 12 : 18 = 2 : 3

Total cost price =Rs 50,000= \text{Rs } 50,000. Cost price of Desktop=22+3×50000=Rs 20,000\text{Cost price of Desktop} = \frac{2}{2 + 3} \times 50000 = \text{Rs } 20,000

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