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    Question

    The average age of (x + 4) students is 14 years. When a

    tutor aged 30 years is included, the average increases by 1 year. Find x% of 900.
    A 72 Correct Answer Incorrect Answer
    B 42 Correct Answer Incorrect Answer
    C 88 Correct Answer Incorrect Answer
    D 99 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total age of students = 14(x + 4) years According to question, [14(x + 4) + 30] = (14 + 1)(x + 4 + 1) 14x + 56 + 30 = 15x + 75 14x + 86 = 15x + 75 15x тАУ 14x = 86 тАУ 75 x = 11 So, 11% of 900 = 99

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