Quantitative Aptitude Ques 2159
Question: If $ A:B=\frac{1}{2}:\frac{1}{3}, $ $ B:C=\frac{1}{5}:\frac{1}{3}, $
then $ (A+B):(B+C) $ is equal to
Options:
A) 9 : 10
B) 6 : 15
C) 5 : 8
D) 15 : 16
Show Answer
Answer:
Correct Answer: D
Solution:
- $ A:B=\frac{1}{2}:\frac{1}{3}=3:2=9:6 $ $ B:C=\frac{1}{5}:\frac{1}{3}=3:5=6:10 $
$ \Rightarrow $ $ A:B:C=9:6:10 $ Let $ A=9k, $ $ B=6k $ and $ C=10k $ Then, $ \frac{(A+B)}{(B+C)}=\frac{(9k+6k)}{(6k+10k)}=\frac{15k}{16k}=15:16 $