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Question

# A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers came to fort. Find for how many days will the remaining provisions last, if consumed at the same rate ?

A
15 Days
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B
25 Days
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C
35 Days
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D
5 Days
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Solution

## The correct option is B 25 Dayssince 450 soldiers had provision for 40 days in a fort.After 10 days: 450 soldiers will remain with 30 days of provisiontherefore for 540 soldiers provision will decrease to x daystherefore By inverse proportion,x=450∗30540∴x=25 daysAnswer is 25 days

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