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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:

A) 400 |
B) 450 |

C) 525 |
D) 500 |

Correct Answer:

A) 400 |

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

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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