Question

grow
The production of refrigerators in a factory
40000 to 48400 in 2 years.
Find the rate of
p.a.
​

Answer 1

Answer:

Let the rate of growth per annum be R.

We have, Present production =48400 scooters.

Previous production =40000 scooters

Number of years =2

∴48400=40000×(1+

100

R

)

2

⇒

40000

48400

=(1+

100

R

)

2

⇒

400

484

=(1+

100

R

)

2

⇒

100

121

=(1+

100

R

)

2

⇒(1+

100

R

)

2

=(

10

11

)

2

⇒1+

100

R

=

10

11

⇒

100

R

=

10

11

−1

⇒

100

R

=

10

1

⇒R=

10

100

=10

Hence, the required rate of growth =10% per annum.