| A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is |
A) \[29\frac{1}{5}\]
B) \[37\frac{1}{4}\]
C) 42
D) 54
Correct Answer: C
Solution :
| After 10 days, 150 men had food tor 35 days. |
| Suppose, 125 men had food for x days. Now, less men, more days [Indirect Proportion] |
| \[\therefore \] \[125:150::35:x\] |
| \[\Rightarrow \] \[125\times x=150\times 35\] |
| \[\Rightarrow \] \[x=\frac{150\times 35}{125}\]\[\Rightarrow \]\[x=42\] |
| Hence, the remaining food will last for 42 days. |
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