Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
Choose the correct choice from the following answers:
A) 338
B) 500
C) 279
D) 1277
E) 198
Let the amounts to be received by P, Q and R be p, q and r.   p + q + r = 1200   p = 1/2 (q + r) =&gt; 2p = q + r   Adding 'p' both sides, 3p = p + q + r = 1200   =&gt; p = Rs.400   q = 1/3 (p + r) =&gt; 3q = p + r   Adding 'q' both sides, 4q = p + q + r = 1200   =&gt; q = Rs.300   r = 1200 - (p + q) =&gt; r = Rs.500.   Answer: 500
<result>B</result>
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?