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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Feb 20, 2025