Question

in a factory the production of scooters was 40000 per year which rose to 57600 in 2 years find the rate of growth per annum​

Answer 1

let the growth rate be r

57600 = 40000 ( 1 + r/100 )^2

57600 /40000= (1+r/100)^2

√144/✓100 = 1+r/100

12/10 -1 = r/100

1/5 = r/100

1/5*100= r

or, r= 20% answer

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Answer 2

Answer:

20%

Step-by-step explanation:

r =x

P= 40000

A= 57600

40000×(1+x/100)^2 = 57600

(1+x/100)^2 = 57600/40000

(take root)

(1+x/100)^2 = (24/20)^2

1+x/100 = 24/20

x/100 = 24/20-1

x/100 = 4/20

x = 4/20×100

x = 20%