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Mixture and Alligation #22

22. How many litres of water must be added to 16 liters of milk and water containing 10% water to make it 20% water in it?
A. 3 litreB. 2 litre
C. 4 litreD. 1 litre

Answer: Option B

Explanation:

By rule of alligation,

% Concentration
of water in pure water (100)
% Concentration
of water in the given mixture (10)
Mean % concentration
(20)
20 - 10 = 10100 - 20 = 80

=> Quantity of water : Quantity of the mixture = 10 : 80 = 1 : 8

Here quantity of the mixture = 16 litres
=> Quantity of water : 16 = 1 : 8
=> Quantity of water $=16 × \dfrac{1}{8} = 2$ litre

Comments(1)

profileYogita Patil
2013-06-23 14:03:58 
Q-22:
SOL:THERE IS ANOTHER FORMULA .
TOTAL MIXTURE =16 L
REQUIRED %=20%
ORIGINAL %=10%
WATER TO BE ADDED=TOTAL MIXTURE(REQUIRED %-ORIGINAL%)
                                              100-REQUIERD %
                                = 16(20-10)
                                     100-20
                                =  16*10
                                      80
                                 =  2 LITRES
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