let the amount he started with be x
after first round he has 2x-P
in 2nd round he tripled that and gave away 2P
so has left
6x - 3P - 2P = 6x - 5P
in 3rd round he quadrupled the amount and gave away P
so he has left
24x - 20P - P = 24x - 21P
amount given away = P + 2P + P = 160
P = 40
but at the end he has nothing left, so
24x - 21P = 0
24x - 21(40) = 0
x = 35
He started with RS 35
in first round: doubled , gave away P
70-40 = 30
in 2nd round: tripled, gave away 2P
90 - 80 = 10
in 3rd round: quadrupled , gave away P
40 - 40 = 0
my solution checks out.
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