2000 soldiers in a fort had enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?
Correct Answer: Description for Correct answer:
Let the number of soldiers transferred be x.
Now, the food would last for 25 days for \( \Large \left(2000 - x\right) \) soldiers.
Less men, More days (Indirect proportion)
25 : 20 :: 2000 : 22000-x
= 2000 - x = \( \Large \frac{2000 \times 20}{25} \)
= 2000 - x = 1600
Therefore, x = 2000 - 1600 = 400
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