Question : 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?
Option 1: 80
Option 2: 85
Option 3: 84
Option 4: 90
Correct Answer: 85
Solution :
Let the remaining correct questions be $x$.
According to the question,
$60 \times \frac{65}{100} + x = 120 \times \frac{75}{100}$
⇒ $39 + x = 90$
⇒ $x = 90 - 39= 51$
So, the required percentage = $\frac{51}{60} \times 100$ = 85%
Hence, the correct answer is 85.
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