Ratio between the investment of Gopal and Dinesh = (3000 x 12) : (2000 x 6)
= 36000 : 12000
= 3 : 1
Dinesh's share = [1/(3 +1)] x 2600 = Rs. 650
Ratio between the investment of Alok and Chandan
= (75000 x 12) : (60000 x 9)
= 900000 : 540000
= 90 : 54 = 5 : 3
Total profit = Rs. 16000
? Chandan's share = [3/(5 + 3)] x 16000
= Rs. 6000
Ratio of share = Ratio of 1 day's work = 1/20 : 1/25 : 1/30 = 15 : 12 : 10
? A's share = Rs. 2220 x (15/37) = Rs. 900
B's share = Rs. 2220 x (12/37) = Rs. 720
? A's share exceeds B's share = Rs. 180
Ratio between the investment of Rakesh and Vinod = (70000 x 12) : (180000 x 4)
= 840000 : 720000
= 7 : 6
Hence, profit sharing ratio = 7 : 6.
Ratio between the investment of Subodh and Nepal = (45000 x 12) : (30000 x 8)
= 540000 : 240000 = 9 : 4
Total profit = Rs. 13000
? Subodh's share = 9/(9 + 4) x 13000 = Rs. 9000
? Nepal's share = 13000 - 9000 = Rs. 4000
? Required difference = 9000 - 4000 = Rs. 5000
C's share = Rs. 550 x (4/11) = Rs. 200
Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
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