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In a fort, there are 1500 soldiers and t...

In a fort, there are 1500 soldiers and they have provisions for 90 days.If 600 soldiers leave the fort and the remaining soldiers increase their consumption rate by 50%, for how many days will the provisions last ?

A

80

B

90

C

100

D

120

Text Solution

Verified by Experts

The correct Answer is:
C
Let the consumption of each person per day =K kg.
Let the required time be x.
Quantity of food available in the fort `=(K)(1500)(90)` kg.
`implies (K)(1500)(90)`
`implies(K+(50)/(100)(K))(1500-600)(x)`
`x=((2)(1500)(90))/((3)(900))=100`.
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