Aptitude Discussion

Q. |
A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort? |

✖ A. |
3500 |

✔ B. |
4000 |

✖ C. |
6000 |

✖ D. |
None |

**Solution:**

Option(**B**) is correct

Let there be $'x'$ men in the beginning so that after 15 days the food for them is left for 45 days.

After adding 500 men the food lasts for only 40 days.

Now $(x+500)$ men can have the same food for 40 days.

Therefore by equating the amount of food we get,

\(45x=(x+500)\times 40\)

\(5x=20,000\)

\(x=4000\)

Therefore there are **4,000** men in the fort.