Question

In an examination a student who gets 20% of maximum marks fail by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. What is the necessary percentage required for passing ?

• A. 22 %
• B. 25%
• C. 21%
• D. 23%

Answer 1

The correct option is A 22 %

Let the maximum marks be x.

Then Pass mark for the 1st student $=\frac{20}{100}\times x+5$
Pass mark for the 2nd student $=\frac{30}{100}\times x-20$

Since pass marks are same for both the students $\frac{20x}{100}+5=\frac{30x}{100}-20$
$\Rightarrow \frac{10x}{100}=25\Rightarrow x=250$

$\therefore$ Pass mark $=\frac{20}{100}\times 250+5=55$

Pass percentage $=\frac{55}{250}\times 100+5=22\%$