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# Mixture problems with best and easy solutions all together

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Director
Status: No dream is too large, no dreamer is too small
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Mixture problems with best and easy solutions all together [#permalink]

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14 Dec 2011, 12:42
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Mixture problems with best and easy solutions all together
Attachment:
Mixture Problems.doc [89.5 KiB]

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Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

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Joined: 26 Apr 2011
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Re: Mixture problems with best and easy solutions all together [#permalink]

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27 Dec 2011, 05:30
Thanks for sharing this collection.
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Re: Mixture problems with best and easy solutions all together [#permalink]

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23 Nov 2013, 02:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Mixture problems with best and easy solutions all together [#permalink]

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10 Dec 2014, 23:48
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Mixture: Mixing of two or more than two type of quantities gives us a mixure.
Quantities of these elements can be expressed as percentage or ratio.
i.e. Percentage (20% of sugar in water)
Fraction ( A solution of sugar and water such that sugar : water = 1:4)

Alligation: Alligation is a rule which is used to solve the problems related to mixture and its ingredient.
It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price.

Alligation Rule
When two elements are mixed to make a mixture and one of the elements is cheaper and other one is costlier then,

Quantity of cheaper/Cost of Costlier = [CP of costlier (D) - Mean Price (M)]/[Mean Price (M)- CP of Cheaper (C)]

Example:
In what proportion must sugar at Rs 40 per kg be mixed with sugar at Rs 60 per kg so that the mixture be Rs 55 per kg?
Sol:

Here, CP of Cheaper(C) = 40,
CP of Costlier(D) = 60 and
Mean Price(M) = 55
So from the rule of alligation we can say that
Cheaper sugar (C)/Costlier sugar (D)= [60-55]/[55-40] = 5/15 = 1/3
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Re: Mixture problems with best and easy solutions all together [#permalink]

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11 Dec 2014, 06:49
d4orange wrote:
Mixture: Mixing of two or more than two type of quantities gives us a mixure.
Quantities of these elements can be expressed as percentage or ratio.
i.e. Percentage (20% of sugar in water)
Fraction ( A solution of sugar and water such that sugar : water = 1:4)

Alligation: Alligation is a rule which is used to solve the problems related to mixture and its ingredient.
It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price.

Alligation Rule
When two elements are mixed to make a mixture and one of the elements is cheaper and other one is costlier then,

Quantity of cheaper/Cost of Costlier = [CP of costlier (D) - Mean Price (M)]/[Mean Price (M)- CP of Cheaper (C)]

Example:
In what proportion must sugar at Rs 40 per kg be mixed with sugar at Rs 60 per kg so that the mixture be Rs 55 per kg?
Sol:

Here, CP of Cheaper(C) = 40,
CP of Costlier(D) = 60 and
Mean Price(M) = 55
So from the rule of alligation we can say that
Cheaper sugar (C)/Costlier sugar (D)= [60-55]/[55-40] = 5/15 = 1/3

Thanks for simple method
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Joined: 09 Sep 2013
Posts: 12165
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Re: Mixture problems with best and easy solutions all together [#permalink]

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10 Jan 2016, 21:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Mixture problems with best and easy solutions all together   [#permalink] 10 Jan 2016, 21:50
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