Answer with Explanation:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines               6:10}  
                                   :: 270 : x
Time (in minutes)  1:4}

Therefore,6 x 1 x x = 10 x 4 x 270

=> x =(10 x 4 x 270)/(6)

=> x = 1800.

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