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Ratio and Proportion - Quant/Math - CAT 2009
Question 4 the day:
May 16, 2003
The question for the day is from the topic of Ratio and Proportion.
- 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?
| (1) |
3500 |
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(2) |
4000 |
| (3) |
6000 |
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(4) |
None of these |
Correct Answer - (2)
Solution:
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,
45 * x = (x + 500) * 40
45x = (x+500) * 40
5x = 20,000
x = 4,000
Therefore there are 4,000 men in the fort.
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