Rajesh solved 80 percent of the questions in an examination correctly, out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions, 5 questions have been solved by Rajesh correctly then find the total number of question asked in the examination?

75
65
60
Can't be determined

Correct Answer: 65

Explanation:

Suppose there are 8y questions were asked apart from the 41 question.Then
37 + 5y/41 + 8y = 80% = 4/5
⇒ 185 + 25y = 164 + 32y
⇒ 7y = 21
⇒ y = 3
∴ Total no. of questions = 41 + 8 x 3 = 65.

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