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%

Solution

## The correct option is D $$33$$%Let the maximum marks be $$x$$.According to question,$$30$$% of $$x + 12 = 40$$% of $$x - 28$$$$\Rightarrow \dfrac {30}{100}x + 12 = \dfrac {40}{100}x - 28$$$$\Rightarrow \dfrac {10}{100}x = 40\Rightarrow x = 400$$Passing marks $$= \dfrac {30}{100}\times 400 + 12 = 132$$Hence, pass percentage $$= \dfrac {132}{400}\times 100 = 33$$%.Maths

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