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# A merchant mixes three varieties of rice and sells the

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Senior Manager
Joined: 30 Aug 2003
Posts: 329

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Location: BACARDIVILLE
A merchant mixes three varieties of rice and sells the [#permalink]

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13 Mar 2004, 16:44
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A merchant mixes three varieties of rice and sells the mixture at the rate of \$31.20 per kg thereby making a profit of 30%. If the first variety costs \$20, the second variety costs \$26 and the third variety costs \$30 per kg respectively, how many kgs of the second variety should he take to obtain the mixture if he took 22kgs of the first variety of rice?

4 kgs
44
22
11
None of the above
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
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Senior Manager
Joined: 05 May 2003
Posts: 424

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13 Mar 2004, 20:36
I think the answer is 11.

The merchant makes 30% profit.
So, the Cost Price = x+ 30%x =31.2. solving this gives x=24

Then,
24 = (20*22 + 26*x + 30y) / 22+x+y
solving this
88 = 2x + 6y
when we apply the answers here only 11 stands a chance

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Manager
Joined: 15 Mar 2004
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17 Mar 2004, 00:01
Sunni,

I agree with Geethu

Post your way of solving this problem, thanks

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17 Mar 2004, 00:01
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