Question

in a factory the production of scooters rose to 46305 from 40000 in three years. Find the annual rate of growth of the production of scooters

Answer 1

QUESTION --- in a factory the production of scooters rose to 46305 from 40000 in three years. Find the annual rate of growth of the production of scooters

ANSWER ----

Old Production - 40000 scooters
New production - 46305 scooters
Time = 3 years
Rate = ?

Using formula,

A = P ( 1 + R/100 ) ^ T

46305 = 40000 × ( 1 + R/100 ) ^ 3

46305/40000 = (1 + R/100) ^3

9261 / 8000 = ( 1 + R/100 ) ^ 3

(21 / 20) ^3 = ( 1 + R/100) ^3

CUBE ROOT ON BOTH SIDES

21/20 = 1 + R/100

R/100 = 21/20 - 1

R/100 = 1/20

R = 100/20

R = 5

RATE = 5%

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ANSWER = RATE = 5%
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Answer 2

Answer:

5%p.a.

Step-by-step explanation:

Let the rate be 5 %p.a.

Given,old production-40000

New production-46305

Time-3 yrs

B.T.P.

46305=40000(1+r/100)^3

or (21/20)^3=(1+r/100)^3

or 21-20/20=r/100

or r=5.

Therefore,rate=5%p.a.