Question

    'Aman' is 4 years younger than 'Bharti', and 'Bharti' is

    8 years younger than 'Chetna'. If the ratio of 'Aman's age 8 years from now to 'Chetna's age 6 years ago is 10:9, then the percentage by which 'Bharti's age will exceed or be less than the average present age of 'Aman' and 'Chetna' combined, 20 years from now.
    A 120% Correct Answer Incorrect Answer
    B 110% Correct Answer Incorrect Answer
    C 100% Correct Answer Incorrect Answer
    D 150% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

     ATQ, Let present age of 'Bharti' be 'a' years Therefore, present age of 'Aman' = (a - 4) years Present age of 'Chetna' = (a + 8) years According to the question, {(a - 4 + 8) /(a + 8 - 6) } = (10/9) Or, 9a + 36 = 10a + 20 Or, 'a' = 16 Therefore, age of 'Bharti', 20 years hence from now = a + 20 = 16 + 20 = 36 years Average present age of 'Aman' and 'Chetna'  = {(a - 4 + a + 8) /2}  = {(2a + 4) /2} = (a + 2) = 16 + 2 = 18 years Required percentage = {(36 - 18) /18} × 100  = 100%

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