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    Question

    Present ages of ‘K’ and ‘L’ are in the ratio

    14:6, respectively. If ‘t’ years hence from now, ‘K’ will be twice as old as ‘L’, then find the percentage increase in the age of ‘L’ during this period.
    A 50.55% Correct Answer Incorrect Answer
    B 65.65% Correct Answer Incorrect Answer
    C 45.45% Correct Answer Incorrect Answer
    D 22.22% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present ages of ‘K’ and ‘L’ be ‘14x’ years and ‘6x’ years, respectively. ATQ; 14x + t = 2 × (6x + t) Or, 14x + t = 12x + 2t Or, 2x = t So, required percentage = (2x/6x) × 100 = 33.33%

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