Correct Answer - Option 1 : 42600
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.
Formula Used:
Average = (Sum of observations)/(Number of observations)
Calculation:
The total population of city X = 45900/(15.3%)
⇒ 45900 × (100/15.3)
⇒ 300000
According to the question,
The population of village A = 22% of 300000
⇒ 22 × 3000
⇒ 66000
The population of village C = (1/8) × 300000
⇒ 37500
The population of village D = 56% of 37500
⇒ 56 × 375
⇒ 21000
The population of village F = 45900
Required average = (Sum of observations)/(Number of observations)
⇒ (66000 + 37500 + 21000 + 45900)/4
⇒ 170400/4
⇒ 42600
∴ The average population of village A, C, D and F will be 42600.
