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Question 96
The number of students studying in College A and B are in the ratio of 3:4. If 50 more students join College A and there is no change in the number of students in College B the ratio becomes 5:6 What is the number of students in College B ?
Solution
Let the number of students in college A and B be 3s and 4s respectively.
If 50 more students join college A, it will have 3s+50 students and the ratio with respect to college B will be 3s+50:4s
This ratio is equal to 5:6
Hence, $$\frac{3s+50}{4s}=\frac{5}{6}$$
Therefore, $$18s+300 = 20s$$ or $$s=150$$
Therefore, the number of students in college B equals $$4s=600$$
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