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On 2 January 2019 in a garrison, there was food for 500 soldiers till the end of February. Out of which 60% of soldiers left the garrison after 20 days, then find out how long the remaining soldier would able to carry on with the remaining food.

On 2 January 2019 in a garrison, there was food for 500 soldiers till the end of February. Out of which 60% of soldiers left the garrison after 20 days, then find out how long the remaining soldier would able to carry on with the remaining food. Correct Answer 95 days

Given:

Garrison started from 2nd of January 2019

Initial number of soldiers = 500

Time  = (2nd January to 28th February) = (30 + 28) = 58 days

After 20 days 60% of soldiers left the garrison

Concept:

In this type of question always consider that every soldier eats 1 unit of food each day. And using this calculates the total food available in garrison.

Calculation:

Let each soldier consume 1 unit of food every day

So the total food available in garrison = 500 × 58 = 29000 units

After 20 days 60% of soldier left

Now, the remaining food = 29000 – 500 × 20 = 19000 units

And remaining soldier = 40% of 500 = 200

∴ Time for which they would carry on with the remaining food = 19000/200 = 95 days

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