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.
What is the ratio of adult females below the age of 50 in the year 1990 and 2000?
- 2.50 : 2
- 2 : 2.50
- 1 : 1.18
- 1.18 : 1
The Correct Option is C
Solution and Explanation
| Adults | Females | Males | Literates | Illiterates | Age above 50 | Age below 50 | |
| 1990 | 20440 | 10833.2 | 9606.8 | 8176 | 12264 | 3474.8 | 16965.2 |
| 2000 | 30760 | 14764.8 | 15995.2 | 23760 | 7000 | 8612.8 | 22147.2 |
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
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?
- 108
- 280
- 208
- 180
The Correct Option is D
Solution and Explanation
| Adults | Females | Males | Literates | Illiterates | Age above 50 | Age below 50 | |
| 1990 | 20440 | 10833.2 | 9606.8 | 8176 | 12264 | 3474.8 | 16965.2 |
| 2000 | 30760 | 14764.8 | 15995.2 | 23760 | 7000 | 8612.8 | 22147.2 |
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
What is the ratio of total adult illiterates in 1990 to total adult females below 50 in 2000?
- 1 : 0.87
- 1.15 : 1
- 0.87 : 1
- 1 : 1.15
The Correct Option is B
Solution and Explanation
| Adults | Females | Males | Literates | Illiterates | Age above 50 | Age below 50 | |
| 1990 | 20440 | 10833.2 | 9606.8 | 8176 | 12264 | 3474.8 | 16965.2 |
| 2000 | 30760 | 14764.8 | 15995.2 | 23760 | 7000 | 8612.8 | 22147.2 |
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
What has been the percentage increase in adult literates from 1990 to 2000?
- 127
- 191
- 132
- 275
The Correct Option is B
Solution and Explanation
| Adults | Females | Males | Literates | Illiterates | Age above 50 | Age below 50 | |
| 1990 | 20440 | 10833.2 | 9606.8 | 8176 | 12264 | 3474.8 | 16965.2 |
| 2000 | 30760 | 14764.8 | 15995.2 | 23760 | 7000 | 8612.8 | 22147.2 |
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
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?
- 236
- 263
- 250
- 178
The Correct Option is B
Solution and Explanation
| Adults | Females | Males | Literates | Illiterates | Age above 50 | Age below 50 | |
| 1990 | 20440 | 10833.2 | 9606.8 | 8176 | 12264 | 3474.8 | 16965.2 |
| 2000 | 30760 | 14764.8 | 15995.2 | 23760 | 7000 | 8612.8 | 22147.2 |
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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