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The following pie chart shows the percentage of 3600 students registered in different courses in a university.

Pie chart of the 3600 students by course: Engineering 18%, Science 21%, Arts 15%, Education 11%, Management 13%, Medicine 22%

The number of students registered in medicine course is what percentage of those registered in science course? (correct to 2 decimal places)

  • A.56.89%
  • B.73.25%
  • C.104.76%
  • D.10.76%

Answer: C

Medicine is 104.76% of science. From the chart, medicine is 22% of the 3600 students and science is 21%. As a share of science:

\[ \frac{22}{21} \times 100 = 104.76\% \]

The 3600 cancels out. 56.89% and 73.25% are wrong ratios of other pairs, and 10.76% is the figure with the leading 1 missing.

The question gives the 3600 students, but the ratio of the two groups does not depend on it: 22% of 3600 is 792 and 21% of 3600 is 756, and 792 / 756 = 1.0476, which is 104.76%. The answer is above 100% because the medicine group is larger than the science group.

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