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    If P: Q = 6:5 and Q: R=3:4, then what is the value of Q: (P+R) ?
    Question

    If P: Q = 6:5 and Q: R=3:4, then what is the value of Q: (P+R) ?

    A.

    15:37

    B.

    14:37

    C.

    13:38

    D.

    15:38

    Correct option is D

    Solution:
    For P:Q = 6:5,
    Multiply both terms by 3 to match Q’s value with the second ratio (Q:R = 3:4):
    P:Q = 18:15
    For Q:R = 3:4
    Multiply both terms by 5 to match Q’s value with the first ratio (P:Q = 18:15):
    Q:R = 15:20
    Now, P:Q:R = 18:15:20
    Q : (P + R) = 15 : 18 + 20 = 15:38

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