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 |
| Utter Pradesh | 3 | 2 | 7 | 2 |
| Tamil Nadu | 3 | 4 | 9 | 4 |
If in the year 1998, there was an increase of 20% in the population of Goa and 10% in the population of Arunachal Pradesh compared to the previous year, then what was the ratio of the population of Goa and Arunachal Pradesh in 1997?
Option 1: 7 : 11
Option 2: 11 : 25
Option 3: 4 : 5
Option 4: 25 : 11
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Correct Answer: 11 : 25
Solution :
The population of Goa in the year 1998 = $32760000 \times \frac{12}{100}$
= 3931200
Population of Goa in the year 1997 = $3931200 \times \frac{100}{120}$
= 3276000
Population of Arunachal Pradesh in the year 1998 = $32760000 \times \frac{25}{100}$
= 8190000
Population of Arunachal Pradesh in the year 1997 = $8190000 \times \frac{100}{110}$
= $\frac{81900000}{11}$
Ratio = $3276000 : \frac{81900000}{11} = 11 : 25$
Hence, the correct answer is 11 : 25.
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