Question: In an examination, a student who gets 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is
Options:
A) 32%
B) 23%
C) 22%
D) 20%
Show Answer
Answer:
Correct Answer: C
Solution:
- Let the maximum marks be x.
According to the question,
20% of $ x+5=30 $ % of $ x-20 $
$ \Rightarrow [(30-20)] $ % of x = 25
$ \Rightarrow $ $ x=\frac{25\times 100}{10}=250 $
$ \therefore $ Pass marks = 20% of $ 250+5=55 $
$ \therefore $ Pass marks percentage $ =\frac{55}{250}\times 100=22 $ %