Question

in a school the number of boys and girls are in the ratio of 4:7. if the number of boys are increase by 25% and the number of girls are increased by 15% what will be the new ratio of number of boys to that of girls?

Answer 1

Answer:

ratio is 4:7

4+4×25%=4+1=5

7+7×15%=7+21/20=161/20

now,100/20:161/20=100:161

Answer 2

Answer:

100 : 161

Step-by-step explanation:

Let x be the constant ratio.

Boys : Girls = 4 : 7

Boys : Girls = 4x : 7x

The number of boys is increased by 25%.

25% of 4x = 0.25 x 4x = x

Number of boys now = 4x + x = 5x

The number of girls is increased by 15%.

15% of 7x = 0.15 x 7x = 1.05x

Number of girls now = 7x + 1.05x = 8.05x

New Ratio

Boys : Girls = 5x : 8.05x

Boys : Girls = 100(5x) : 100(8.05x)

Boys : Girls =500x : 805x

Boys : Girls =100x : 161x

Boys : Girls =100 : 161