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Mathematics 17 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

A sells an article to B who in turn sells it to C. B looses as much percentage loss as A's percentage profit. If A brought the article at 100 and C at 64 then B buys the article at?

OpenStudy (gorv):

let a sell at x% profit

OpenStudy (anonymous):

OK

OpenStudy (gorv):

profit=100*(x/100)=x

OpenStudy (gorv):

b will bought it at =100+x

OpenStudy (anonymous):

how profit=100*(x/100)=x

OpenStudy (gorv):

now B sell at loss =profit % of A=x% loss=(100+x)*(x/100)

OpenStudy (gorv):

2% means 2/100 5% means 5/100 and x% means x/100

OpenStudy (anonymous):

yes i got it

OpenStudy (gorv):

now c bought it at =(100+x)-loss of B

OpenStudy (anonymous):

yes

OpenStudy (gorv):

c purchased at =64 = given in Q loss of B we calculated 64=(100+x)-(100+x)*x/100

OpenStudy (gorv):

multiply both side by 100

OpenStudy (anonymous):

so B buys at 160

OpenStudy (gorv):

\[64*100=100*(x+100)-(x+100)*\frac{ x }{ 100 }*100\]

OpenStudy (gorv):

6400=100x+10000-x^2-100x

OpenStudy (anonymous):

So x = 60

OpenStudy (anonymous):

so B buys at 160

OpenStudy (gorv):

6400=10000-x^2 x^2=10000-6400 x^2=3600 x=60

OpenStudy (gorv):

now can u do it

OpenStudy (anonymous):

thank u

OpenStudy (gorv):

wlcme:)

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