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 option.
A) Rs.400	B) Rs.500	C) Rs.300	D) Rs.600	E) None of these
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:Rs.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?