In the half yearly exam only 60% of the students were passed. Out of these (passed in half-yearly) only 70% students are passed in annual exam, out of remaining students (who fail in half-yearly exam) 80% passed in annual exam. What percent of the students passed the annual exam?
Total students = 100
Passed in half-yearly = 60% of 100 = 60
Failed in half-yearly = 100 - 60 = 40
From those who passed half-yearly:
70% of 60 = (70/100) × 60 = 42
From those who failed half-yearly:
80% of 40 = (80/100) × 40 = 32
42 + 32 = 74
(74 ÷ 100) × 100 = 74%
The correct option is (C) 74%.
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