Quantitative Aptitude :: Simplification - Discussion

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Explanation:
Lets the total no. of envelopes = x
No. of small envelopes = 80
No. of medium envelopes = [5*80+5/20*x] = [400+5/20*x]
No. of large envelopes = [80 +5/20(400+5/20*x)] = [180+25/400*x]
Sum of small, medium and large envelopes = x
=> 80 + 400+5/20*x + 180+25/400*x = x
=> 660 + 5/16*x = x
=> 11/16*x = 660
=> x = 960