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The table shows Net National Income (Lac Crore rupees) and Per Capita Net National Income (thousand rupees) of India, 2015-16 to 2019-20.

YearNet National IncomePer Capita NNI
2015-1612295
2016-17136105
2017-18151115
2018-19167126
2019-20177132

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

A135.68
B138.35
C140.17
D143.34 ✓ Correct
Correct answer: (D) 143.34
Explanation

The yearly growth rates in per capita income are about 10.52%, 9.52%, 9.56% and 4.76% for the four transitions.

Their average is (10.52 + 9.52 + 9.56 + 4.76)/4, which is about 8.59%.

Applying 8.59% growth to the 2019-20 value 132 gives 132 x 1.0859, about 143.34, so the answer is 143.34.

The added amount is 8.59% of 132, roughly 11.34 thousand rupees, lifting 132 to about 143.34.

The value 135.68 applies only the last and smallest single-year rate rather than the average.

The value 138.35 uses an under-stated average growth figure.

The value 140.17 rounds the growth wrongly midway through the calculation.

Projection questions require averaging the historical rates first, then compounding that average onto the latest known value.

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