In a test consisting of 120 questions, Anuradha answered 65% of the first 60 questions correctly. What percentage of the remaining questions does she need to answer correctly to score 75% in the test?

In a test consisting of 120 questions, Anuradha answered 65% of the first 60 questions correctly. What percentage of the remaining questions does she need to answer correctly to score 75% in the test? Correct Answer 85

Let remaining question right be x, then

According to the question

60 × (65/100) + x = 120 × 75/100

39 + x = 90

x = 90 - 39 = 51

Required percentage = 51/60 × 100 = 85%

SHORT TRICK:

Using average method

(65 + y)/2 = 75

65 + y = 75 × 2

y = 150 - 65 = 85%

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