Question : In a quarterly examination, a student secured 30% marks and failed by 12 marks. In the same examination, another student secured 40% marks and got 28 marks more than the minimum marks to pass. The maximum marks in the examination are:
Option 1: 300
Option 2: 500
Option 3: 700
Option 4: 400
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Correct Answer: 400
Solution : Let the maximum marks be $x$. Passing marks = 30% of $x$ + 12 = 40% of $x$ – 28 ⇒ $(\frac{30}{100}×x)+12 $ = ($\frac{40}{100}×x) - 28$ ⇒ $(\frac{10}{100}×x) = 40$ So, the maximum marks, $x$ = 400 Hence, the correct answer is 400.
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