Question
Megha got 38% of the maximum marks in an examination and
failed by 6 marks. In the same examination Teena got 42% of the total marks which is 14 marks more than the passing marks. What were the passing marks in the examination?Solution
Let x is the maximum marks of the examination.  Given that Megha failed by 6 marks  ⇒ Minimum Pass Mark = 38x/100 + 6......(Equation 1)  Given that Teena got 14 marks more than the passing marks  ⇒Minimum Pass Mark =42x/100 −14......(Equation 2)  From equations 1 and 2, we have  => 38x/100 + 6 = 42x/100 − 14  ⇒4x/100 = 20  ⇒ x = 100 × 20/4 = 500  ⇒ Maximum marks of the examination = x = 500  Minimum Pass Mark = 38 × 500/100 + 6 = 190 + 6 = 196
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