Question

if the population in 1950 and 1967 was 36 and 51.4 crore respectively. find annual arithmetic and geometric growth rate. ​

Answer 1

Answer:

The arthematic growth rate is 2.51%

Step-by-step explanation:

As per the data given in the question,

We have,

Population in 1950 ($Po$)= 36 cr

Population in 1967 ($Pt$)= 51.4 cr

According to formula,

$Pt= Po + gt\\51.4=36+g\times 17\\15.4=17g\\g=0.905\: Cr$

So, annual growth is 0.905 Cr

Now, Arthematic Growth rate =

$=\frac{growth}{Past\:year} \times 100\\=\frac{0.905}{36} \times 100\\= 2.51\%$

Now, for geometric growth rate we need to know the function of variation, which is not available in question.

So,

The arthematic growth rate is 2.51%

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