Why do they Mix it??
Algebra
Level
3
How many kg of salt at 42 cents per kg must a shopkeeper mix with 25 kg of salt at 24 cents per kg so as to gain 25% on selling the mixture for 40 cents??
The answer is 20.
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1 solution
Let the quantity of cheaper salt mixed be x
This problem can be solved by the rule of alligation
First of all, The selling price = 4/5*40=32 cents
By the rule of alligation, which says that
(Quantity of cheaper)/ (Quantity of cheaper) =
(CP of dearer - Mean price)/(Mean price-CP of cheaper)
Where mean price = 32 cents
CP of dearer = 42 cents
CP of cheaper= 24 cents
Which implies that
(42-32)/(32-24)= 25/x
5/4=25/x
Ans. x=20kg