Correct Answer - Option 2 : 34500
Given:
The population of village A = 22% of the total population of city X
The population of village B = 24% of the total population of city X
The population of village C = (1/8)th of the total population of city X
The population of village D = 56% of the total population of village C
The population of village E = 80% of the population of village B
The population of village F = 45900
The population of village F = 15.3% of the total population of city X.
Calculation:
The total population of city X = 45900/(15.3%)
⇒ 45900 × (100/15.3)
⇒ 300000
Now let the total population of city X be 100%.
According to the question,
The population of village B = 24%
The population of village C = (1/8) × 100%
⇒ 12.5%
The population of village D = 56% of 12.5%
⇒ 7%
Now the total population of village C and D together = (12.5 + 7)%
⇒ 19.5%
And the total population of village B and D together = (24 + 7)%
⇒ 31%
The required difference = (31 - 19.5)%
⇒ 11.5%
∵ 100% = 300000
then 11.5% = 34500
∴ The difference between the total population of village B and D together and village C and D together will be 34500.