Question: If $ a:b=c:d=e:f=1:2, $ then $ (pa+qc+re):(pb,+qd+rf) $ is equal to
Options:
A) $ p:(q+r) $
B) $ (p+q):r $
C) 2 : 3
D) 1 : 2
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\frac{1}{2} $
$ \Rightarrow $ $ \frac{pa}{pb}=\frac{qc}{qd}=\frac{re}{rf}=\frac{1}{2} $
$ \Rightarrow $ $ \frac{pa+qc+re}{pb+qd+rf}=\frac{1}{2} $