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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


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

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.

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