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    Question

    An integer 'p' is added to each of 19, 25, 43 and 55 so

    that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4) '.
    A 9 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 15 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. (19 + p) :(25 + p) ::(43 + p) :(55 + p)

    So, (19 + p) ÷ (25 + p) = (43 + p) ÷ (55 + p)

    Or, (19 + p) (55 + p) = (43 + p) (25 + p)

    Or, 1,045 + 19p + 55p + p 2  = 1,075 + 43p + 25p + p 2

    Or, 1,045 + 74p = 1,075 + 68p

    Or, 6p = 30

    Or, 'p' = 5

    Required value = p + 4 = 5 + 4 = 9

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