Question: The ratio of successful and unsuccessful examines in an examination in a school is 6: 1. The ratio would have been 9: 1, if 6 more examines had been successful. The total number of examines is
Options:
A) 140
B) 120
C) 200
D) 160
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the successful and unsuccessful examines in an examination be $ 6x $ and $ x, $ respectively. Then, $ \frac{6x+6}{x-6}=\frac{9}{1} $
$ \Rightarrow $ $ 6x+6=9x-54 $
$ \Rightarrow $ $ 3x=60 $
$ \Rightarrow $ $ x=20 $
$ \therefore $ Total number of examines $ =6x+x=7x $
$ =7\times 20=140 $