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An examination of 40 questions is held on a school, in which 1 mark is awarded for each correct answer and 1/3 mark is deducted for each wrong answer. If a student attempts 33 questions and gets 21 marks, what per cent of total questions he answered wrong? (There is no penalty for unattended questions.)

An examination of 40 questions is held on a school, in which 1 mark is awarded for each correct answer and 1/3 mark is deducted for each wrong answer. If a student attempts 33 questions and gets 21 marks, what per cent of total questions he answered wrong? (There is no penalty for unattended questions.) Correct Answer 22.5%

Let the number of questions, he answered correct = x

So, the number of questions, he answered wrong = 33 - x

The total marks received by student = 21

According to the question

x - = 21

3x - 33 + x = 63

x = 24

The number of questions, he answered wrong = 33 - 24 = 9

Required percentage = (9/40) × 100 = 22.5%

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