The following bar chart shows the number of hospital beds in a state in 5 consecutive years.

The number of hospital beds in Y6 will be 20% more than the number of such beds in Y5, and the number of hospital beds in Y7 will be 25% more than the number of such beds in Y6. What is the ratio of the number of hospital beds in Y2 to the number of hospital beds in Y7?

The number of hospital beds in Y6 will be 20% more than the number of such beds in Y5.

number of hospital beds in Y6 = (100+20)% of number of hospital beds in Y5

= (100+20)% of 800

= 120% of 800

= $$120\times\frac{800}{100}$$

= 960

the number of hospital beds in Y7 will be 25% more than the number of such beds in Y6.

number of hospital beds in Y7 = (100+25)% of number of hospital beds in Y6

= 125% of 960

= $$125\times\frac{960}{100}$$

= $$5\times\frac{960}{4}$$

= $$5\times240$$

= 1200

Ratio of the number of hospital beds in Y2 to the number of hospital beds in Y7 = 640 : 1200

= 8 : 15