Quantitative Aptitude Ques 2388

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 $ %