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In a test consisting of 200 questions, Amit answered 40% of the first 120 questions correctly. What percent of the 80 remaining questions does he need to answer correctly for his score in the entire test to be 60%?

In a test consisting of 200 questions, Amit answered 40% of the first 120 questions correctly. What percent of the 80 remaining questions does he need to answer correctly for his score in the entire test to be 60%? Correct Answer 90%

Given

Total Questions = 200

40% of the first 120 questions are answered correctly.

Correction percentage in entire test = 60%

Calculation

Let x% of the remaining 80 questions are correct.

Hence,

40% of 120 + x% of 80 = 60% of 200

⇒ 48 + 80 × (x/100) = 120

⇒ 4x/5 = 72

⇒ x = 90

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