1. Consider three mixtures — the first having water and liquid A in the ratio 1:2, the second having water and liquid B in the ratio 1:3, and the third having water and liquid C in the ratio 1:4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4: 3: 2. Then the resulting mixture has





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  • By: anil on 05 May 2019 02.29 am
    The proportion of water in the first mixture is $$frac{1}{3}$$
    The proportion of Liquid A in the first mixture is $$frac{2}{3}$$ The proportion of water in the second mixture is $$frac{1}{4}$$
    The proportion of Liquid B in the second mixture is $$frac{3}{4}$$
    The proportion of water in the third mixture is $$frac{1}{5}$$
    The proportion of Liquid C in the third mixture is $$frac{4}{5}$$
    As they are mixed in the ratio 4:3:2, the final amount of water is $$4 imes frac{1}{3} + 3 imes frac{1}{4} + 2 imes frac{1}{5} = frac{149}{160}$$
    The final amount of Liquid A in the mixture is $$4 imesfrac{2}{3} = frac{8}{3}$$
    The final amount of Liquid B in the mixture is $$3 imesfrac{3}{4} = frac{9}{4}$$
    The final amount of Liquid C in the mixture is $$2 imesfrac{4}{5} = frac{8}{5}$$ Hence, the ratio of Water : A : B : C in the final mixture is $$frac{149}{160}:frac{8}{3}:frac{9}{4}:frac{8}{5} = 149:160:135:96$$ From the given choices, only option C  is correct.
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