10% of the inhabitants of a village having died of cholera, a panic set in during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants?

Options

A. 5000
B. 6000
C. 7000
D. 8000

Answer

B

Explanation

(b) Let the total number of original inhabitants be x. Then (100-25)% of (100-10)% of x=4050
`implies((75)/(100)xx(90)/(100)xx x)=4050implies(27)/(40)x=4050`
`implies x=((4050xx40)/(27))=6000`.
`:.` Number of original inhabitants =6000.