In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many extra days will the remaining food last for the remaining soldiers?
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In a fort there was sufficient food for 200 soldiers for 31 days . After 27 days 120 soldiers left the fort . For how many extra days will the rest of the food last for the reamaining soldiers ?
A. 6 days
B. 8 days
C. 10 days
D. 12 days
Solution(By Examveda Team)
Given,
Total Soldiers = 200
Food for them = 31 days
So, Quantity of food = 200 *31 = 6200 man-days
Till 27 days, quantity consumed = 27 *200 = 5400 man-days
Rest Quantity = 6200 - 5400 = 800 man-days
Remaining soldiers = 200 - 120 = 80
Let reamining food will suffient for X days.
Now,
5400 + 80X = 6200
80X = 800
X = 10 days.
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