KVPY SA Exam 19-Nov-2017 Question Paper

Question : 12 of 80

Marks: +1, -0

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?

Validate

Solution:

Let no of Boys = x
& Let no of girls = y
Given

({4x}/5)/y=2/3

{2x}/{5y}=1/3

y={6x}/5

...(i)
Also,

({4x}/5)/{y-44}=5/2

8x = 25 (y – 44)

8x=25({6x}/5-44)

(use 1)
x = 50
y = 60

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