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# In what ratio must a person mix 3 kinds of tea costing

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In what ratio must a person mix 3 kinds of tea costing [#permalink]  09 Mar 2008, 10:03
In what ratio must a person mix 3 kinds of tea costing Rs.60/kg, Rs.75/ kg and Rs.100/kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?
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Re: Ratio [#permalink]  09 Mar 2008, 12:44
i know how i would start, but im not sure how to set up an equation for 'profit of 20%' ...

profit = revenue - cost

revenue = 96(x+y+z) where x,y,z are the different teas

cost = 60x+75y+100z
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Re: Ratio [#permalink]  09 Mar 2008, 14:23
let the cost of resultant mixure be X
then, (96-X)*100/X = 20

=> 9600 - 100X = 20X

X = 80

let the ratio be x:y:z
then X = 80 = (60x+ 75y + 100z) / (x+y+z)

=> 80x + 80y + 80z = 60x + 75y+100z
=>20x + 5y = 20z

4x+y = 4z

apply this to available options. what are the available options ?
Re: Ratio   [#permalink] 09 Mar 2008, 14:23
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