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