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In a school, the total number of students who take part in Singing is 75 out of which 24% take part in both Singing and Dancing. If the total number of students who take part in Dancing is 63, then what percent of total students take part in either Singing or Dancing? 

In a school, the total number of students who take part in Singing is 75 out of which 24% take part in both Singing and Dancing. If the total number of students who take part in Dancing is 63, then what percent of total students take part in either Singing or Dancing?  Correct Answer 85%

Given:

Total students who take part in singing = 75

Students who take part in both singing and dancing = 24% of 75

Total students who take part in dancing =  63

Calculation:

Total number of students who take part in both Singing and Dancing = 24% of 75 = 18

⇒ Total number of students who take part in Singing only = 75 – 18 = 57

Total number of students who take part in Dancing = 63

⇒ Total number of students who take part in Dancing only = 63 – 18 = 45

Total number of students who take part in either Singing or Dancing = 57 + 45 = 102

∴ Required percent = (102/120) × 100 = 85%

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