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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, me ratio becomes 5 : 6
- A540
- B600
- C680
- D700
Correct answer: B
Discussion 1
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CCommunity
600
Suppose total number of students in
College A = 3x and total number of students in
College B = 4x.
After 50 more students join College A,
new ratio = 3x + 50/4x = 5/6
= 18x + 300 = 20x= 2x = 300
∴ x = 150
∴ Total number of students in college B = 4 x 150 = 600
Suppose total number of students in
College A = 3x and total number of students in
College B = 4x.
After 50 more students join College A,
new ratio = 3x + 50/4x = 5/6
= 18x + 300 = 20x= 2x = 300
∴ x = 150
∴ Total number of students in college B = 4 x 150 = 600