Given ratio of profits of Ram, Shyam and Kamal = Ratio of their capitals
= 3 : 4 : 7
Kamal's share = [7/(3 + 4 + 7)] x 21000
= 7 x 1500 = ? 10500
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
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
Share of Rakesh : Share of Dinesh : Share of Mahesh
= 5000 : 8000 : 12000 = 5 : 8 : 12
Total earned profit = ? 12500
? Share of Dinesh in profit
= [8/(5 + 8 + 12)] x 12500 = (8/25) x 12500
= 8 x 500 = ? 4000
Reena's share : Reema's share : Meera's share
Ratio of time period for which the car was used
= 14 : 16 : 22 = 7 : 8 : 11
Amount paid by Meera = [11/ (7+8+11)] x 2080 = (11/26) x 2080
= 11 x 80 = ? 880
Let pinku's share = 7N
Rinku's share = 8N
Tinku's share = 6N
According to the question,
7N + 8N + 6N = 4200
? 21N = 4200
? N = 4200/21 = 200
Hence. amount of Pinku = 7N = 7 x 200 = ? 1400
Amount of Rinku = 8N = 8 x 200 = ? 1600
Amount of Tinku = 6N = 6 x 200 = ? 1200
Now. ? 200 is added to each share
Then,
New ratio of shares
= (1400 + 200) : (1600 + 200) : (1200 + 200)
= 1600 : 1800 : 1400
= 16 : 18 : 14 = 8 : 9 : 7
Let investment of R = N
Then, investment of Q = 2N/3
and investment of P = 2N
? Ratio of capitals of P, Q and R = 2N : (2N/3) : N
= 6N : 2N : 3N = 6 : 2 : 3
A's share : B's share
= Ratio of products of investment and time period of investment
= (4000 x 12) : 16000 x (12 - 3)
= 4 x 12 : 16 x 9
= 1 : 3
Note Here, the partnership is compound, in which A invested for 1 yr or 12 month and B invested 3 months later. it does mean B invested for (12 - 3) months.
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