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?

85

Let percentage required be 100x

\(\frac{65}{100}\) × 60 + \(\frac{100x}{100}\)  × 60 = \(\frac{75}{100}\)× 120

 39 + 60x = 90

 60x = 51

100x = 85

Percentage required =  85%