| If 10 spiders can catch 10 flies in 10 min, then how many flies can 200 spiders catch in 200 min? |
A) 2000
B) 5000
C) 4000
D) 3000
Correct Answer: A
Solution :
| Let the required number of files be x. |
| More spiders, More flies [direct proportion] |
| More time, More flies [direct proportion] |
| \[\left. \begin{align} & \text{Spider}\,\,\text{10}\,\,\text{:}\,\,\text{200} \\ & \text{Time}\,\,\text{1}0:200 \\ \end{align} \right\}::10:x\] |
| \[\because \]\[(10\times 10\times x)=(200\times 200\times 10)\] |
| \[\therefore \]\[x=\frac{200\times 200\times 10}{10\times 10}=4000\,\,\text{files}\] |
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