Question
In a vessel, there are two types of liquid, P and Q in
the ratio of 5:9. 28liters of the mixture is taken out and 2 liters of type Q liquid is poured into it. The new ratio P:Q thus formed is 1:2. What will be the initial quantity of the mixture in the vessel?Solution
ATQ, Ratio of liquid P and Q is given as Ā Ā PĀ Ā Ā Ā :Ā Ā Q 5unitĀ Ā :Ā Ā 9unit Total liquid is = 5unit + 9unit = 14 unitĀ Then, Mixture of quantity P is = (28/14) x 5 = 10 liters Mixture of quantity Q is = (28/14) x 9 = 18 liters Let the initial quantity be āiā Then, we can say that {[āiā x (5/14) ā 10] / [āiā x (9/14) ā 18 + 2]} = 1/2Ā 10i ā 280 = 9x ā 224 i = 56 litersĀ
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