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

Assuming that the per capita Net national Income grows beyond the year 2019-20 at the average annual rate of increase (%) of the period (2015-16 to 2019-20), what will be its value (in thousand `) at the end of the year 2020-21?

The correct option is 143.34.

To find the estimated per capita Net National Income at the end of the year 2020-21, we first need to determine the annual growth rates in per capita Net National Income from 2015-16 to 2019-20 and then calculate their average.

From the table, the per capita Net National Income (in thousand rupees) for each year is:

- 2015-16: 95
- 2016-17: 105
- 2017-18: 115
- 2018-19: 126
- 2019-20: 132

Step 1: Calculate the annual percentage increase for each consecutive year.

1. Increase from 2015-16 to 2016-17:

$g_1=\frac{105-95}{95}\times 100=\frac{10}{95}\times 100\approx 10.5263\%$

2. Increase from 2016-17 to 2017-18:

$g_2=\frac{115-105}{105}\times 100=\frac{10}{105}\times 100\approx 9.5238\%$

3. Increase from 2017-18 to 2018-19:

$g_3=\frac{126-115}{115}\times 100=\frac{11}{115}\times 100\approx 9.5652\%$

4. Increase from 2018-19 to 2019-20:

$g_4=\frac{132-126}{126}\times 100=\frac{6}{126}\times 100\approx 4.7619\%$

Step 2: Calculate the average annual growth rate over the period.

$\text{Average Growth Rate}=\frac{10.5263+9.5238+9.5652+4.7619}{4}=\frac{34.3772}{4}\approx 8.5943\%$

Step 3: Calculate the expected value at the end of 2020-21.

Using the 2019-20 value of 132 thousand rupees and growing it by the average annual growth rate of 8.5943%:

${\text{Value}}_{\text{2020-21}}=132\times (1+\frac{8.5943}{100})=132\times 1.085943\approx 143.34$

Thus, the estimated per capita Net National Income at the end of the year 2020-21 is 143.34 thousand rupees.