Comprehension

Study the information below and answer these questions.
The adult population of a town in 1990 was 20440 people of which 53% were females while 60% were illiterates. Of these, the number above the age of 50 in that year was 17%. In the 2000 Census, it was found that adult population has reached 30760, 48% of them being females. Of the total adult population in 2000, 72% were below the age of 50 and total illiterates were 7000. Assume uniform pattern of age distribution amongst males and females.

Question: 1

What is the ratio of adult females below the age of 50 in the year 1990 and 2000?

Updated On: Sep 26, 2024
  • 2.50 : 2
  • 2 : 2.50
  • 1 : 1.18
  • 1.18 : 1
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The Correct Option is C

Solution and Explanation

AdultsFemalesMalesLiteratesIlliteratesAge above 50Age below 50
19902044010833.29606.88176122643474.816965.2
20003076014764.815995.22376070008612.822147.2

Adult females below the age of 50 in the year 1990, 
53\(\%\) of 16965.2 = 8991.556 = 8992 (approx) 
Adult females below the age of 50 in the year 2000, 
48\(\%\) of 22147.2 = 10630.656 = 10631 (approx) 
Ratio = 8992 : 10631 
= 1 : 1.18 
Hence, option C is the correct answer.The correct option is (C): 1 : 1.18

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Question: 2

If every adult female above the age of 50 was given a special annual allowance of 24000 in 1990 which was increased to 30000 by the year 2000, by what percentge has the quantum of this annual allowance increased/decreased from 1990 to 2000?

Updated On: Sep 26, 2024
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The Correct Option is D

Solution and Explanation

AdultsFemalesMalesLiteratesIlliteratesAge above 50Age below 50
19902044010833.29606.88176122643474.816965.2
20003076014764.815995.22376070008612.822147.2

Adult females above the age of 50 in 1990 = 53% of 3474.8 = 1841.644 
Total allowance given = 1842 x 24000 = 4,42,08,000 
Adult females above the age of 50 in 2000 = 48% of 8612.8 = 4134 
Total allowance given = 4134 x 30000 = 12,40,20,000
∴ Percentage increase in annual allowance from 1990 to 2000,

\(=\frac{12,40,20,000-4,42,08,000}{4,42,08,000}\times100\)

\(=\frac{79812}{44208}\times100\)

\(=180\%\)

Hence, option D is the correct answer.The correct option is (D): 180

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Question: 3

What is the ratio of total adult illiterates in 1990 to total adult females below 50 in 2000?

Updated On: Sep 26, 2024
  • 1 : 0.87
  • 1.15 : 1
  • 0.87 : 1
  • 1 : 1.15
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The Correct Option is B

Solution and Explanation

AdultsFemalesMalesLiteratesIlliteratesAge above 50Age below 50
19902044010833.29606.88176122643474.816965.2
20003076014764.815995.22376070008612.822147.2

Total adult illiterates in 1990 = 12264 
Total adult females below 50 in 2000 = 48\(\%\) of 22147.2 = 10631 
Ratio = 12264 : 10631 
= 1.15 : 1 
Hence, option B is the correct answer.The correct option is (B): 1.15 : 1

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Question: 4

What has been the percentage increase in adult literates from 1990 to 2000?

Updated On: Sep 26, 2024
  • 127
  • 191
  • 132
  • 275
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The Correct Option is B

Solution and Explanation

AdultsFemalesMalesLiteratesIlliteratesAge above 50Age below 50
19902044010833.29606.88176122643474.816965.2
20003076014764.815995.22376070008612.822147.2

Total number of adult literates in 1990 = 8176 
Total number of adult literates in 2000 = 23760 

Percentage increase\(=\frac{23760-8176}{8176}\times100\)

\(=\frac{1558400}{8176}=190.60=191\%\) (approx)

Hence, option B is the correct answer.The correct option is (B): 191

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Question: 5

If expense incurred on education (per literate adult) in 1990 was 1200 and the same had increased by 25% in 2000. What is the percentage increase in expenditure under this head?

Updated On: Sep 26, 2024
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The Correct Option is B

Solution and Explanation

AdultsFemalesMalesLiteratesIlliteratesAge above 50Age below 50
19902044010833.29606.88176122643474.816965.2
20003076014764.815995.22376070008612.822147.2

Total adult literates in 1990 = 8176 
Total expense on education in 1990 = 1200 x 8176 = 9811200 
Total adult literates in 2000 = 23760 
Total expense on education in 2000 = 125% of 1200 x 23760 = 35640000

Percentage increase \(=\frac{35640000-9811200}{9811200}\times100\)

\(=\frac{25828800}{98112}=263\%\)

Hence, option B is the correct answer.The correct option is (B): 263

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