Question

The ratio of the number of boys and girls in a collage is7:8. If the percentage increase in the number of boys and girls 20% and10% respectively, what will be the new ratio

Answer 1

$<h1>SOLUTIONS:</h1>$

Let the no. of boy be 7x

So, no.of girls also 8x

Total nos.of students is 15x

And boys increase by 20%

And girls increase by 10%

Now total boys is 7x

So, 20% of boys will be

$20 \div 100 \times 7x$

=7x/5

So, 20%is 7x/5 boys

Now total boys after increased is

=7x+7x/5

=35x+7x/5

=42x/5

So, now total boys is 42x/5

Now total nos. of girls after increased is



=$10 \div 100 \times 8x$

=8x/10

=4x/5

So, 10% of girls is 4x/5

Now total nos.of boys after increased is

=8x+4x/5

=40x+4x/5

=44x/5

So, total girls is 44x/5

Now the new ratio will be

=

$no.of \: boys \div no.of \: \: girls$

=42x/5÷44x/5

=42x/5×5/44x

=42x/44x

=42/44

=21/22

So, the new ratio between boys and girls is 21:22

**** I Hope it's help You******