Question
Download Solution PDFA cantonment had arrangements for 210 soldiers for 50 days. After 30 days, 140 soldiers left the cantonment for battle. Then after how much time the food will be consumed completely if the consumption of food remains the same for the remaining soldiers ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total soldiers = 210
Food available for 210 soldiers = 50 days
After 30 days, remaining soldiers = 210 - 140 = 70
Formula used:
Food consumption is inversely proportional to the number of soldiers:
Total food = Soldiers × Days
Remaining food = Initial food - Food consumed in 30 days
Days food lasts for remaining soldiers = Remaining food / Remaining soldiers
Calculation:
Total food = 210 × 50 = 10500 soldier-days
Food consumed in 30 days = 210 × 30 = 6300 soldier-days
⇒ Remaining food = 10500 - 6300 = 4200 soldier-days
⇒ Days food lasts for remaining soldiers = 4200 / 70
⇒ Days = 60
∴ The correct answer is option (1).
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