The following table shows Net National Income (in Lac Crore) and Per capita Net National Income (in thousand) of India during the 5 year period from the year 2015-16 to 2019-20. Based on the data in the table, answer the questions that follow

Year	Net National Income (in Lac, Crore rupees)	Per Capita Net National Income (in thousand rupees)
2015-16	122	95
2016-17	136	105
2017-18	151	115
2018-19	167	126
2019-20	177	132

With reference to the year 2015-16, the percentagem growth in the population of India by the year 2019-20 is

The correct option is ∼ 4.4%.

Step-by-Step Explanation:

To find the percentage growth in the population of India from the year 2015-16 to the year 2019-20, we can use the mathematical relationship between Net National Income, Per Capita Net National Income, and Population.

The formula for Per Capita Net National Income is given by:
$$\text{Per Capita Net National Income}=\frac{\text{Net National Income}}{\text{Population}}$$

Rearranging the terms, we can express the population as:
$$\text{Population}=\frac{\text{Net National Income}}{\text{Per Capita Net National Income}}$$

Thus, the population ($P$) is directly proportional to the ratio of Net National Income to Per Capita Net National Income:
$$P\propto \frac{\text{Net National Income}}{\text{Per Capita Net National Income}}$$

From the table, we extract the following data points for the reference year 2015-16 and the target year 2019-20:
1. For 2015-16: Net National Income = 122 Lac Crore rupees; Per Capita Net National Income = 95 thousand rupees.
2. For 2019-20: Net National Income = 177 Lac Crore rupees; Per Capita Net National Income = 132 thousand rupees.

Let's calculate the relative population values for both years:

For 2015-16:
$$P_{\text{2015-16}}\propto \frac{122}{95}$$

For 2019-20:
$$P_{\text{2019-20}}\propto \frac{177}{132}$$

Now, we compute the percentage growth in population from 2015-16 to 2019-20 using the growth formula:
$$\text{Percentage Growth}=\left(\frac{P_{\text{2019-20}}}{P_{\text{2015-16}}}-1\right)\times 100$$

Substituting the proportional values:
$$\text{Percentage Growth}=\left(\frac{177/132}{122/95}-1\right)\times 100$$

Simplifying the fraction:
$$\text{Percentage Growth}=\left(\frac{177\times 95}{132\times 122}-1\right)\times 100$$

Calculate the products in the numerator and denominator:
$$177\times 95=16815$$
$$132\times 122=16104$$

Substitute these values back into the percentage growth equation:
$$\text{Percentage Growth}=\left(\frac{16815}{16104}-1\right)\times 100$$
$$\text{Percentage Growth}=\left(\frac{16815-16104}{16104}\right)\times 100$$
$$\text{Percentage Growth}=\frac{711}{16104}\times 100$$
$$\text{Percentage Growth}\approx 0.04415\times 100\approx 4.415\%$$

Therefore, the percentage growth in the population of India by the year 2019-20 is approximately 4.4%.