The ratio of boy and girls in a class is 5:4. If the percentage increase in the number of boys and girls is 20% and 50% respectively, what will be the new ratio?
Answers
Explanation:
the current ratio of boys and girls is 5:4
let the no. of boys and girls be 5x and 4x respectively
increase in the no. of boys is x*20%=x*20/100 =x/5
increase in the no. of girls is x*50%=x*50/100=x/2
so, the new no. of boys in the class=5x+x/5=26x/5
then, the new no. of girls in the class=4x+x/2=9x/2
so the new ratio of boys and girls in the class=26x/5=26x*2/5*9x
9x/2
=52x/45x = 52:45
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The new ratio will be 1:1
Step-by-step explanation:
Given that ratio of boys and girls is 5:4
Let the no of boys be 5 x and girls be 4 x
Now no of boys increase by 20%
Now 20% of 5 x is = x
Now no of girls increase by 50%
And 50 % of 4 x is = 2 x
Now no of boys = 5 x + x = 6 x
no of girls = 4 x + 2 x = 6 x
So the new ratio is 6 x : 6 x = 1 : 1