Question

In a quarterly examination, a student secured $30$% marks are failed by $12$ marks. In the same examination, another student secured $40$% marks and got $28$ marks more than the minimum marks to pass. Find the pass percentage.

• A. $24$%
• B. $28$%
• C. $25$%
• D. $33$%

Answer 1

The correct option is D $33$%

Let the maximum marks be $x$.

According to question,

$30$% of $x+12=40$% of $x-28$

$\Rightarrow \frac{30}{100}x+12=\frac{40}{100}x-28$

$\Rightarrow \frac{10}{100}x=40\Rightarrow x=400$

Passing marks $=\frac{30}{100}\times 400+12=132$

Hence, pass percentage $=\frac{132}{400}\times 100=33$%.