KVPY2017MathematicsBasics of Mathematics
In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is 2: 3 . If further 44 girls leave the class, the ratio of boys to girls is 5: 2 . How many more boys should leave the class so that the number of boys equals that of girls?
Options
- A16
- B24
- C30
- D36
Correct answer
B. 24
Step-by-step solution
Let no of Boys =x & Let no of girls =y Given ( 4 x 5 ) y = 2 3 2 x 5 y = 1 3 y= 6 x 5 .........(i) Also, ( 4 x 5 ) y-44 = 5 2 8 x=25(y-44)8 x=25 ( 6 x 5 -44 ) (use 1) x=50y=60