Question : Study the given graph and table and answer the following question.
Data of different states regarding the population of states in the year 1998
Total population of the given states = 32760000
States | Sex and Literacy Wise Population Ratio | |||
Sex | Literacy | |||
M | F | Literate | Illiterate | |
Arunachal Pradesh | 5 | 3 | 2 | 7 |
Madhya Pradesh | 3 | 1 | 1 | 4 |
Delhi | 2 | 3 | 2 | 1 |
Goa | 3 | 5 | 3 | 2 |
Bihar | 3 | 4 | 4 | 1 |
Uttar Pradesh | 3 | 2 | 7 | 2 |
Tamil Nadu | 3 | 4 | 9 | 4 |
What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh?
Option 1: 21 : 50
Option 2: 25 : 16
Option 3: 16 : 25
Option 4: 50 : 21
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Correct Answer: 25 : 16
Solution :
Number of females in Arunachal Pradesh = $\frac{3}{3+5}$ × 25% of 32760000
Number of females in Uttar Pradesh = $\frac{2}{2+3}$ × 15% of 32760000
Required ratio = $\frac{3}{8}$ × 25% of 32760000 : $\frac{2}{5}$ × 15% of 32760000
= $\frac{3}{8}$ × $\frac{25}{100}$ : $\frac{2}{5}$ × $\frac{15}{100}$
= $25: 16$
Hence, the correct answer is 25 : 16.