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.In a test consisting of 150 questions, Neha answered 40% of the first 90 questions correctly. What per cent of the 60 questions does she need to answer correctly for her score in the entire test to be 60%?
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Total number of questions in the test = 150 Given, she scored 40% of the first 90 questions correctly So the total no. of questions correctly answered = 40/100 * 90 = 36 Now, Let the no. of questions of 60 to be correctly answered be x So, 36 + x / 150 × 100 = 60 => 36 + x = 60 * 150 / 100 => 36 + x = 90 => x = (90 – 36) Therefore, x = 54 Therefore, percentage of questions out of 60 she needs to do correct is = (54/60 * 100)% = 90% Therefore, she needs to solve 90% of the questions correctly.
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