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    Question

    165 litres of Mixture тАШAтАЩ (water + alcohol) contains

    30% water and remaining alcohol while 119 litres of mixture тАШBтАЩ (milk + water) contains 20 litres more milk than water. Find the sum of quantities of water in both the given mixtures.
    A 99 litres Correct Answer Incorrect Answer
    B 89 litres Correct Answer Incorrect Answer
    C 79 litres Correct Answer Incorrect Answer
    D 91 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Quantity of water in mixture тАШAтАЩ = 165 ├Ч 0.30 = 49.5 litres Let the quantity of water in mixture тАШBтАЩ = тАШxтАЩ litres Then, quantity of milk in mixture тАШBтАЩ = (x + 20) litres So, x + (x + 20) = 119 Or, 2x + 20 = 119 Or, x = (119 тАУ 20) ├╖ 2 Or, x = 49.5 Therefore, quantity of water in mixture тАШBтАЩ = x = 49.5 litres So, sum of quantity of water in both the mixtures = 49.5 + 49.5 = 99 litres.

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