In a test containing of 80 questions carrying one mark each, Arpita answered 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly for her grade in the entire exam to be 75%?
A
60
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B
80
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C
85
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D
75
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Solution
The correct option is C85 Let the required per cent of question be x
Then 65% of 40+x% of 40=75% of 80 ⇒65100×40x100×=75100×80 x=(75×80100−65×40100)×10040% =(60−26)×10040%=85%