P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
Choose the most appropriate option
A) Rs. 2520/-  B) Rs. 2800/-  C) Rs. 3150/-  D) Rs. 4120/-  E) None of these
Explanation:   Ratio of capitals in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 :12   Suppose A, Rs. 2800/-, C invest Rs 20x, Rs 15x and Rs 12x Respectively   A : Rs. 2800/- : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)   = 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36   A’s Share = Rs(8470 * 40/125) = Rs 2800/-   Answer: Option Rs. 2800/-
<result>B</result>
P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is: