One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?
Solution
Correct Answer: Option D
Let number of boys = B
Number of girls = G
From the given data,
1B/3 + 1G/2 = 300
But given B/3 = 100
=> B = 300
G/2 = 300 - 100
G = 200 x 2
=> G = 400
Therefore, total number of students in the college = B + G = 700.
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