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    Question

    An integer 'p' is added to each of 8, 14, 30 and 40 so

    that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.
    A 27 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 31 Correct Answer Incorrect Answer

    Solution

    Let 'p' be the number that must be added to each of the given numbers so that they become proportional. i.e. (8 + p) :(14 + p) ::(30 + p) :(40 + p) So, (8 + p) ÷ (14 + p) = (30 + p) ÷ (40 + p) Or, (8 + p) (40 + p) = (30 + p) (14 + p) Or, 320 + 8p + 40p + p2 = 420 + 30p + 14p + p2 Or, 320 + 48p = 420 + 44p Or, 4p = 100 Or, 'p' = 25 Required value = p + 4 = 25 + 4 = 29

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