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

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20000 — Easy Let the desktop cost $d$; the laptop then costs $50000-d$. Write the total rupee profit as (profit on desktop) − (loss on laptop) and set it equal to 2% of the total spend. One linear equation gives $d$. 1 Express the overall profit in rupees. Overall $2\%$ profit on Rs. $50000$ is Rs. $1000$. $$\begin{aligned} &0.20\,d-0.10\,(50000-d)=1000 \quad	ext{(20\% gain − 10\% loss = total gain)} \end{aligned}$$ 2 Solve for $d$. $$\begin{aligned} &0.20\,d-5000+0.10\,d=1000\ &\Rightarrow\ 0.30\,d=6

CAT 2020 Slot 1 — QA Question 5

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