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Question

There is a provision of food for 50 days for 1000 soldiers in a fort. How many soldiers should leave after 15 days so that the remaining food last for 40 more days?
 



A

125

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B

875

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C

850

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D

1045

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Solution

The correct option is D

125


After 15 days, provision lasts for (50 - 15) i.e. 35 days for 1000 soldiers.
Let the food may last for 40 days for x soldiers.
                        No. of days the                             No. of soldiers
                              food last 
 
                                    35                                             1000
                                    40                                               x
Here, the number of days is inversely related to the number of soldiers. So as the days increases, the number of soldiers will decrease.
40:35::1000:x
4035=1000x
Cross-multiplying, we get
40×x=1000×35
x=1000×3540=875

Hence, the number of soldiers left = 1000 - 875 = 125 


Mathematics

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