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    Question

    In a mixture, nitrogen and HCL are present in a 4:1

    ratio. After removing 25% of the mixture and replacing it with 'x' liters of HCL, the ratio of nitrogen to HCL in the mixture becomes 1:4. Then, 'y' liters of nitrogen are added to the mixture, resulting in a nitrogen-to-HCL ratio of 3:2. What percentage of 'y' is 'x'?
    A 75% Correct Answer Incorrect Answer
    B 55% Correct Answer Incorrect Answer
    C 45% Correct Answer Incorrect Answer
    D 65% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let the quantity of the nitrogen initially = тАШ4aтАЩ litres And, the quantity of the HCL initially = тАШaтАЩ litres Quantity of the nitrogen that is taken out = 4a ├Ч 25% = a litres Quantity of the HCL that is taken out = a ├Ч 25% = 0.25a litres According to the question, (4a тАУ a):(a тАУ 0.25a + X) = 1:4 12a = 0.75a + X X = 11.25aтАжтАжтАжтАжтАжтАжтАжтАж.(1) Again, (4a тАУ a + Y):(a тАУ 0.25a + X) = 3:2 (3a + Y):(0.75a + 11.25a) = 3:2 (From equation 1) 2(3a + Y) = 3 ├Ч 12 3a + Y = 18a Y = 15x Required percentage = (11.25a/15a) ├Ч 100 = 75%

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