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 remaining soldiers?

Correct Answer: 10 days

Explanation:

Quantity of food = 200 X 31 = 6200 man-days

Till 27 days, quantity consumed = 27 X 200 = 5400 man-days

Remaining quantity = 6200 –5400 = 800 man days

Remaining soilders = 200 –120 = 80

Let remaining food will be sufficient for x days⇒5400 + 80x = 6200⇒x= 10 days

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