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

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

    A.

    7:6:2

    B.

    25 16:10

    C.

    10:8:3

    D.

    5:4:3

    Correct option is D

    Given:
    4P = 5Q
    3Q = 4R
    Formula Used:
    To find P : Q : R, we express each variable in terms of a common value.
    Solution:
     From 4P = 5Q, we get P = 5Q4\frac{5Q}4​​
    From 3Q = 4R, we get R =3Q4\frac{3Q}4​​
    P : Q : R =5Q4:Q:3Q4\frac{5Q}4:Q:\frac{3Q}4​  = 5 : 4 : 3

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