Maths : Data Interpretation

Q 24 / 46

UPSC CSE Prelims 2014

The following table gives population and total income of a city for four years:

Years 1992 1993 1994 1995
Populations in Lakhs 20 21 22 23
Income in crore (Rs) 1010 1111 1225 1345

Which one of the following statements is correct in respect of the above data?

EXPLANATION

Correct Option (C)

The per capita income (PCI) is calculated by dividing the total income by the total population. For the given data, the calculations are as follows:

  • For 1992: (1010 crore Rs / 20 lakh) * 100 = 5050 Rs
  • For 1993: (1111 crore Rs / 21 lakh) * 100 ≈ 5290.48 Rs
  • For 1994: (1225 crore Rs / 22 lakh) * 100 ≈ 5568.18 Rs
  • For 1995: (1345 crore Rs / 23 lakh) * 100 ≈ 5847.83 Rs

From these calculations, it is evident that the per capita income for all years (1992, 1993, 1994, and 1995) consistently exceeds 5,000 Rs. Therefore, statement (C) is correct.

Incorrect Options:

Option (A): Population increased by 5% or more every year.

  • Population increase from 1992 to 1993: ((21 - 20) / 20) * 100 = 5%.
  • Population increase from 1993 to 1994: ((22 - 21) / 21) * 100 ≈ 4.76%.
  • Population increase from 1994 to 1995: ((23 - 22) / 22) * 100 ≈ 4.55%.

Since the population increase in the periods 1993-94 and 1994-95 is less than 5%, this statement is incorrect.

Option (B): Income increased by 10% or more every year.

  • Income increase from 1992 to 1993: ((1111 - 1010) / 1010) * 100 = 10%.
  • Income increase from 1993 to 1994: ((1225 - 1111) / 1111) * 100 ≈ 10.26%.
  • Income increase from 1994 to 1995: ((1345 - 1225) / 1225) * 100 ≈ 9.79%.

As the income increase in the period 1994-95 is less than 10%, this statement is incorrect.

Option (D): Per capita income was highest in 1994.

Based on the per capita income calculations:

  • 1992: 5050 Rs
  • 1993: 5290.48 Rs
  • 1994: 5568.18 Rs
  • 1995: 5847.83 Rs

The per capita income was highest in 1995, not 1994. Therefore, this statement is incorrect.