Simran : Nanda = $\left(50000 \times 36\right)$ : $\left(80000 \times 30\right)$ = 3 : 4.
Simran's share = Rs.$\left(24500\times\dfrac{3}{7}\right)$ = Rs. 10,500Aman : Rakhi : Sagar =$ \left (70,000 \times 36\right)$ :$ \left (1,05,000 \times 30\right)$ : $ \left(1,40,000 \times 24\right) $= 12 : 15 : 16.
P : Q : R
$=\left(25\times1+35\times2\right)$:$\left(35\times2+25\times1\right)$ $:(30×3)$
$=95:95:90=19:19:18$
Suppose B joined for $ x $ months. Then,
Then,$ \left(\dfrac{85000 \times 12}{42500 \times x} =\dfrac{3}{1} \right) $
$\Rightarrow x $ =$ \left(\dfrac{85000 \times 12}{42500 \times 3} \right) $= 8.
So, B joined for 8 months.
Let Bs capital be Rs. $ x $.
Then,$ \left(\dfrac{3500 \times 12}{7x} =\dfrac{2}{3} \right) $
$\Rightarrow$ 14$ x $ = 126000
$\Rightarrow x $ = 9000.
Here A's and B's capitals are there for equal time. Hence
A : B = 85000 : 15000
= 85 : 15
= 17 : 3
Let B joined for X months. Then
85000×12:42500×X=3:1
850×12:425X=3:1
850×12×1=3×425X
850×4=425X
X=8
=6000*5:3600*6:7500*3
=60*5 : 36*6 : 75*3
=100: 72: 75
So there are 100 + 72 + 75 = 247 parts of profit.
Out of these 247 parts, A will get 100 parts, B will get 72 parts and C will get 75 parts.
Total profit = 7410
Share of A=$\dfrac{100}{247}\times 7410 $= 3000
A's investment:B's investment
15000:25000
15:25
3:5
So there are 3+5 = 8 parts of profit.
Total Profit=9600
A receives 10% of the profit
9600*10/100 = 960
Total Profit-A's 10% profit
9600 - 960 = 8640
So,
A's Share
=8640*3/8
= 3240
Therefore Total Amout Received by A is
= 3240 + 960
= 4200
A:B:C = 35000:45000:55000 = 7:9:11
A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500
Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4
C's share Rs.[(4/7)*700) = 400
Ratio of their shares
= 22500 : 35000
=9 : 14
Deepak's share
= Rs.(13800×14/23)
= Rs. 8400
A:B:C = (8000*6):(4000*8):(8000*8)
= 48:32:64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
= 2:2:1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000