Question
Download Solution PDF10% of people died due to cholera in a village and due to that 25% of remaining people left the village. The population is then reduced to 2025. Find total number of people originally living in the village.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
10% of the population died due to cholera.
25% of the remaining population left the village after the deaths.
The final population after these events is 2025.
Solution:
Let the total population is 100
After a 10% decrease, the population becomes 90x
25% of the remaining population leaving means that 75% ((0.75)) of the remaining population stayed.
The population after both events is represented by (90x × 0.75 = 2025).
⇒ 0.675x = 2025
⇒ x = 3000
The correct answer is option 3.
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