QUESTION

CSAT

Medium

Maths

Prelims 2014

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

16

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

Select an option to attempt

Explanation

Option A is incorrect: To calculate the percentage growth in population from 1992 to 1993: [212020]×100=(120)×100=5%[\frac{21-20}{20}] \times 100 = (\frac{1}{20}) \times 100 = 5\% Since the population increases by 1 lakh every year, the percentage growth will decline as the base (total population) increases. For 1993-1994: 121\frac{1}{21} For 1994-1995: 122\frac{1}{22} With a constant numerator and a growing denominator, the fraction's value decreases each year, meaning the percentage growth will always be lower than 5% going forward.

Option B is incorrect: To calculate the income growth from 1992 to 1993: [111110101010]×100=(1011010)×100=10%[\frac{1111-1010}{1010}] \times 100 = (\frac{101}{1010}) \times 100 = 10\% To calculate the income growth from 1993 to 1994: [122511111111]×100=(1141111)×100=10.2%[\frac{1225-1111}{1111}] \times 100 = (\frac{114}{1111}) \times 100 = 10.2\% To calculate the income growth from 1994 to 1995: [124512251225]×100=(1201225)×100=9.7%[\frac{1245-1225}{1225}] \times 100 = (\frac{120}{1225}) \times 100 = 9.7\%

Option C is correct: To calculate the per capita income in 1992: 101020=5050\frac{1010}{20} = 5050 To calculate the per capita income in 1993: 111121=5290\frac{1111}{21} = 5290 To calculate the per capita income in 1994: 122522=5568\frac{1225}{22} = 5568 To calculate the per capita income in 1995: 134523=5847\frac{1345}{23} = 5847

Option D is incorrect: By calculation above, we know per capita income was highest in 1995.

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