Question : Directions: The student strength of a college in Arts, Science, and Commerce from 2004-05 to 2007-08 sessions is shown in the following bar graph. Study the graph and answer the question.
The ratio of the average number of students in Arts to the average number of students in Commerce is:
Option 1: $12:5$
Option 2: $10:7$
Option 3: $7:4$
Option 4: $48:35$
Correct Answer: $12:5$
Solution :
Total number of students in arts = 600 + 550 + 550 + 700 = 2400
Total number of students in commerce = 200 + 250 + 300 + 250 = 1000
Number of given years = 4
Average total number of students in arts = $\frac{2400}{4}$ = 600
Average total number of students in commerce = $\frac{1000}{4}$ = 250
Required Ratio = $600:250 = 12:5$
The ratio of the average number of students in Arts to the average number of students in Commerce is $12:5$
Hence, the correct answer is $12:5$.
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