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let the 1st, 2nd, and 3rd price be a, b and c
given,
b = 5/6a
c = 4/5 b = 4/5(5/6)a = 2/3a
a+b+c = 150
(5/6+2/3+1)a = 150
15/6a = 150
a = 60
b = 60(5/6) = 50
c = 40
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