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How many pounds of salt at 50 cents/lb must be mixed [#permalink]

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07 Aug 2012, 13:26

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How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?

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How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?

A) 20 B) 15 C) 40 D) 50 E) 25

Source: 4gmat

Selling price is 48 cents/lb For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)

Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)

weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 35) = 2/1 We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs.

Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

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19 Apr 2014, 00:13

Alligation Says

50----------------------------------35

---------------40-------------------

5------------------------------------10

Why 40 is because 1.2*40 = 48 at which it was sold.

50C:35C should be used in ratio 1:2

WKT, 35c used is 40 lbs then

50C used is 20
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Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

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04 Aug 2015, 20:27

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Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

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02 Sep 2016, 08:08

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