The following table shows Net National Income (in lakh crore) and Per capita…

2023

The following table shows Net National Income (in lakh 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 lakh 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 percentage growth in the population of India by the year 2019-20 is

Answer: B. ~ 4.4%ConceptWhen a total amount and a per-capita amount are known, the corresponding population is proportional to total amount divided by per-capita amount. To…

  1. A.

    ~ 6.2%

  2. B.

    ~ 4.4%

  3. C.

    ~ 7.1%

  4. D.

    ~ 3.1%

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Concept

When a total amount and a per-capita amount are known, the corresponding population is proportional to total amount divided by per-capita amount. To find percentage growth, compare the later derived population with the earlier derived population, subtract 1, and multiply by 100.

Application

  1. For 2015-16, the population factor is 122/95.

  2. For 2019-20, the population factor is 177/132.

  3. The population ratio is (177/132) divided by (122/95) = (177 × 95)/(132 × 122) = 1.0441505.

  4. Percentage growth = (1.0441505 - 1) × 100 = 4.41505%, which is approximately 4.4%.

Cross-check

Cross-check: using approximate population factors, 122/95 = 1.2842 and 177/132 = 1.3409; the increase 0.0567 over 1.2842 is about 4.42%.

Result

Therefore, the population grew by approximately 4.4%.

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