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    Question

    if p:q = 3:4 and q:r = 1:2, the

    find the value of (4p + 3q + r):(2p + 5q - r)
    A 16:9 Correct Answer Incorrect Answer
    B 15:7 Correct Answer Incorrect Answer
    C 9:13 Correct Answer Incorrect Answer
    D 10:11 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given, p:q = 3:4 and q:r = 1:2 Therefore, p = (3q/4) and r = 2q Therefore, (4p + 3q + r) = 4 × (3q/4) + 3q + 2q = 8q And, (2p + 5q – r) = 2 × (3q/4) + 5q – 2q = 9q/2 Required ratio = 8q:(9q/2) = 16:9

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