It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error ? Choose one.
A) Rs. 99  B) Rs. 126  C) Rs. 140  D) Rs. 152  E) None of these
Explanation:   Total amount = Rs. 585   on dividing it in the ratio of 4 : 3 : 2   Share of P = 4/9 * 585 = Rs. 260   Share of Q = 3/9 * 585 = Rs. 195   Share of R = 2/9 * 585 = Rs. 130   But the amount has been divided in the proportion of 1/4 : 1/3 : 1/2 i.e. 3 : 4 : 6   Share of P = 3/13 * 585 = Rs. 135   Share of Q = 4/13 * 585 = Rs. 180   Share of R = 6/13 * 585 = Rs. 270   Therefore, gain for R by virtue of error = Rs. 270 – Rs. 130 = Rs. 140   ANSWER Rs. 140
<result>C</result>
It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error ?