A : B : C = Rs. (16000 x 3 + 11000 x 9) : (12000 x 3 + 17000 x 9) : (21000 x 6)
= 147 : 189 : 126
= 7 : 9 : 6
? (B's share) - (C's share) = Rs. [ 26400 x (9/22) - 26400 x (6/22)]
= Rs. (10800 - 7200) = Rs. 3600
Ratio of profits of A and B = 5/7 : 2/7 = 5 : 2
? (16000 x 8)/(N x 4) = 5/2
? 20N = 256000
? N = 128000
So, B contributed Rs. 12800.
Let initial investment be 3k, 5k and 7k rupees.
? (3k - 45600) : 5k : (7k + 337600) = 24 : 59 : 167
? (3k - 45600)/5k = 24/59
? k = 47200
? Initial investment of A = Rs. (47200 x 3) = Rs. 141600
Suppose A invests Rs. N/6 for M/ 6 months. B invests Rs. N/3 for M/3 months and C invests Rs. [N - (N/6 + N/3)]
For M months.
Ratio of their investment = (N/6 x M/6) : (N/3 x M/3) : (N / 2NM)
= 1/36 : 1/9 : 1/2 = 1 : 4 : 18
? B's share = Rs. 4600 x (4/23) = Rs. 800
Ratio of profits of Rajan and Sajan = Ratio of their investments
=14200 : 15600 = 142 : 156 = 71 : 78
? Rajan's share = [71/(71 + 78)] x 74500
= (71/149) x 74500
= ? 35500
P's share : Q's share = Ratio of their investments
= 13000 : 25000 = 13 : 25
Now, let P's share = 13N
Q's share = 25N
According to the question,
13N + 25N = 76000
? N = 76000/38 = 2000
? Q's share = 25N = 25 x 2000 = ? 50000
? Ratio of shares = (9000 x 12) : (8000 x 7) = 108 : 56 = 27 : 14
? Sudhakar's share = Rs. 6970 x (14/41) = Rs. 2380
Let the total profit be Rs. 100
After paying to Charity,
A's share = Rs. 95 x (3/5) = Rs. 57
If A's share is Rs. 57, then total profit = Rs. 100
If A's share is Rs. 855, then total profit = Rs. 855 x (100/51) = Rs. 1500
Sanjay's investment for 1 months = 15000 x 12 = Rs. 180000
Komal's investment for 1 months = 15000 x 8 + (15000 - 10000) x 4
= 120000 + 20000
= Rs. 140000
? Ratio between the investment of Sanjay and Komal
= 180000 : 140000 = 9 : 7
? Sanjay's profit = [9/(9 + 7)] x 32000 = Rs. 18000
For management A receive = Rs. 960
Balance Amount = Rs. (9600 - 960) = Rs. 86400
Ratio of their investment = 12000 : 20000 = 3 : 5
? A's share = Rs. 8640 x (3/8) = Rs. 3240
So, A receive = Rs. (3240 + 960) = Rs. 4200
Ratio of rent = 6 : 10 : 12 = 3 : 5 : 6
? Pandeyji has to pay = Rs. 350 x (6/14) = Rs. 150
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