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Question-57302




Question Number 57302 by rajesh4661kumar@gamil.com last updated on 02/Apr/19
Answered by tanmay.chaudhury50@gmail.com last updated on 03/Apr/19
profit=sp−cp  %profit=((sp−cp)/(cp))×100                   =((100sp)/(cp))−100  as per question cp=%profit  cp=((100sp)/(cp))−100  cp(cp+100)=100sp  cp^2 +100cp+2500−2500=100sp  (cp+50)^2 =100(sp+25)  cp+50=(√(100(sp+25)))   cp=−50+(√(100(sp+25)))   given  sp=24  cp=−50+(√(100(24+25)))   cp=−50+10×7  cp=20
$${profit}={sp}−{cp} \\ $$$$\%{profit}=\frac{{sp}−{cp}}{{cp}}×\mathrm{100} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{100}{sp}}{{cp}}−\mathrm{100} \\ $$$${as}\:{per}\:{question}\:{cp}=\%{profit} \\ $$$${cp}=\frac{\mathrm{100}{sp}}{{cp}}−\mathrm{100} \\ $$$${cp}\left({cp}+\mathrm{100}\right)=\mathrm{100}{sp} \\ $$$${cp}^{\mathrm{2}} +\mathrm{100}{cp}+\mathrm{2500}−\mathrm{2500}=\mathrm{100}{sp} \\ $$$$\left({cp}+\mathrm{50}\right)^{\mathrm{2}} =\mathrm{100}\left({sp}+\mathrm{25}\right) \\ $$$${cp}+\mathrm{50}=\sqrt{\mathrm{100}\left({sp}+\mathrm{25}\right)}\: \\ $$$${cp}=−\mathrm{50}+\sqrt{\mathrm{100}\left({sp}+\mathrm{25}\right)}\: \\ $$$${given}\:\:{sp}=\mathrm{24} \\ $$$${cp}=−\mathrm{50}+\sqrt{\mathrm{100}\left(\mathrm{24}+\mathrm{25}\right)}\: \\ $$$${cp}=−\mathrm{50}+\mathrm{10}×\mathrm{7} \\ $$$${cp}=\mathrm{20} \\ $$

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