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Number of student studing in colleges A ...

Number of student studing in colleges A and B are in the ratio `3:4` respectively. If 50 more sutdents join college A and there is no change in the number of students in college B, the respective ratio becomes `5:6`. What is the number of students in college B?

A

450

B

500

C

400

D

600

Text Solution

Verified by Experts

The correct Answer is:
D
Let total number of students in collage `A=3x` and total number of students in collage `B=4x`
After 50 more students join collage A
New Ratio ` =(3x+50) /(4x)=(5)/(6)`
`rArr 18x +300 =20x`
`rArr 2x =300`
`rArr x=(300)/(2)=150`
Total number of students in college
`B=4x =4xx 150 =600`
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