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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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