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 rest which is Rs. 14. Find the total amount they initially had with them?  Choose the correct choice from the following answers:	A) 27	B) 92	C) 80	D) 82	E) 83
Let the total amount be Rs. p.   Let shares of A and B be Rs. x and Rs. y respectively.   C's share was Rs. 14   we have, x + y + 14 = p ----- (1)   From the given data, x = (p/2) - 4 ----- (2)   Remaining amount = p - (p/2 - 4) =&gt; 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   3p/4 + 20 = p   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 rest which is Rs. 14. Find the total amount they initially had with them?