Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?  Choose the correct choice:
A) 16
B) 78
C) 80
D) 76
E) 23
Let the total amount be Rs.P   Let shares of A and B be Rs.X and Rs.Y respectively.   Given, C's share was Rs.14.   X + Y + 14 = P --- (1)   From the given data, X = P/2 - 4 --- (2)   Remaining amount = P - (P/2 - 4) = P/2 + 4   Y = 1/2(P/2 + 4) + 8   =&gt; P/4 + 10 --- (3)   From (1), (2) and (3)   P/2 - 4 + P/4 + 10 + 14 = P   =&gt; 3P/4 + 20 = P   =&gt; P - 3P/4 = 20   =&gt; P/4 = 20 =&gt; P = Rs.80   Answer: 80
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Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?