A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score 50% marks gets 20 marks more than the minimum pass marks. what is the minimum pass mark?

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score 50% marks gets 20 marks more than the minimum pass marks. what is the minimum pass mark? Correct Answer 80

Let the maximum marks be 'x'. Then, according to the question. (25 % of x) + 30 = (50 % of x) - 20 ⇒ x/4 + 30 = x/2 - 20 ⇒ (x/4) - (x/2) = - 20 - 30 ⇒ (x - 2x)/4 = - 50 ⇒ - x/4 = - 50 ⇒ - x = - 200 ⇒ x = 200 So, the maximum marks are 200. Minimum passing marks are = x/4 + 30 = 200/4 + 30 = 50 + 30 = 80 marks Minimum passing marks are 80
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