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A merchant mixes three varieties of rice costing Rs.20/kg,

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A merchant mixes three varieties of rice costing Rs.20/kg, [#permalink] New post 17 Jan 2004, 17:57
A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?

(1) 1 kg (2) 5 kgs (3) 3 kgs (4) 6 kgs
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 [#permalink] New post 17 Jan 2004, 18:02
Hey gmatblast how many kgs of the first variety does he mixes
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 [#permalink] New post 17 Jan 2004, 18:03
rakesh1239 wrote:
Hey gmatblast how many kgs of the first variety does he mixes


That is exactly my problem. It is not given. But there is an answer to this problem. and not sure whether that is correct or not.
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 [#permalink] New post 17 Jan 2004, 18:11
I got the answer has 5kg by assuming the first variety has 1 kg. here it is 1kg----- Rs 20/kg, x kg-------- Rs 24/kg and 2kg----- Rs 30/kg and sells it at 20% profit of y-y @ 30 = Rs 25/kg. so (1+x+2) kgs @ 25 = 20+ 24x + 60 solve for x and we get 5 kgs but I guess the question is wrong
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 [#permalink] New post 26 Jan 2004, 11:27
assuming x is the weight of 2nd type and y of 1st type.

So we have total value as:
y*20+x*24+2*30 ----> 20y+24x+60

Now in the market it was sold at 20% profit at 30Rs/kg, which means

(20y+24x+60)+(20/100)*(20y+24x+60) = 30(x+y+2)

which on resolving will give
x+5y=10

Only option that satisfies the above scenario is 5.
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 [#permalink] New post 26 Jan 2004, 11:36
mba wrote:
assuming x is the weight of 2nd type and y of 1st type.

So we have total value as:
y*20+x*24+2*30 ----> 20y+24x+60

Now in the market it was sold at 20% profit at 30Rs/kg, which means

(20y+24x+60)+(20/100)*(20y+24x+60) = 30(x+y+2)

which on resolving will give
x+5y=10

Only option that satisfies the above scenario is 5.


You are again assuming that Y is integer. But that is unwarranted.
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 [#permalink] New post 29 Jan 2004, 14:21
got the 5. Solution is same as mba
  [#permalink] 29 Jan 2004, 14:21
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