X, Y and Z together invested Rs.106000, X invested Rs.4000 more than Y, and Rs.10000 more than Z. what is the share of X out of annual profit of Rs.26500 ?	Choose the correct choice: A) Rs.10000 B) Rs.10800 C) Rs.10500 D) Rs.11000 E) Rs.11500
Let Z share be ‘a’ then   Y = a + Rs.6000 [as X investment is Rs.10000 more than Z, and Rs.4000 more than Y, then Y share more than Z by Rs.10000 – Rs.4000 = Rs.6000]   X = a + Rs.10000.   X + Y + Z = 3a + 16000 = Rs.106000.   3a = 106000 – 16000 = Rs.90000.   a = 90000 / 3 = Rs.30000.   therefore Z investment = Rs.30000.   Y = Rs.30000 + Rs.6000 = Rs.36000.   X = Rs.30000 + Rs.10000 = Rs.40000.   Ratio of shares X : Y : Z = 20 : 18 : 15 = [53 units].   Investment Ratio = Profit sharing Ratio.   X = 26500 × 20 / 53 = Rs.10000   Option Rs.10000
<result>A</result>
X, Y and Z together invested Rs.106000, X invested Rs.4000 more than Y, and Rs.10000 more than Z. what is the share of X out of annual profit of Rs.26500 ?