Let share of Raghu be 100. Then share of Mona = 90 and share of Sonu = 99
Sonu : Mona : Raghu = 99 : 90 : 100
? Investment of Raghu = [100/(99 + 90 + 100)] x 5780
= (100/289) x 5780 = ? 2000
Here, p1 : p2 : p3 = 5 : 3 : 1 and x1 : x2 : x3 = 5 : 6 : 8
According to the formula,
Required ratio = p1/x1 : p2/x2 : p3/x3
= 5/5 : 3/6 : 1/8
= 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1
Ratio of rents of A, B, C and D
= (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent be N.
Then, A's share = [72N / (72 + 50 + 140 + 63)] = 72N/325
According to the question. 72N/325 = 720
? N = (720 x 325)/72 = 3250
? Total Rent = ? 3250
Time is not given in the question. So, we cannot find the profit of Ramesh. Hence, the data is inadequate.
Let the capital of R = N
Then, capital of Q = 3N,
and capital of P = 6N
? P's capital : Q's capital : R's capital = 6N : 3N : N
= 6 : 3 : 1
Let investment of A = 3N
? Investment of B = 5N
Investment of C = 5N
As we know,
Ratio of profits = Ratio of investments
? A's share : B's share : C's share
= 3N x 12 : 5N x 12 : 5N x (12 - 6)
= 3N x 12 : 5N x 12 : 5N x 6
= 6 : 10 : 5
Let the total profit be ? N,
Then, A's share in profit = ? 3N/5
Remaining profit = N - 3N/5 = (5N - 3N) / 5 = 2N/5
? B's share in profit = ? N/5
C's share in profit = ? N/5
According to the question,
(3N/5 - N/5) = 400
2N/5 = 400; N = (400 x 5)/2 = ? 1000
Let B remained in the business for N months. Then,
A : B = (2250 x 12) : (2700 x N)
? 2 : 1 = (27000 : 2700N) = (10 : N)
? 10/N = 2/1 [ ? Ratio of profit is 2 : 1]
? 2N = 10
? N = 10/2 = 5
Clearly, B joined after (12 - 5) = 7 months.
Here, P1 : P2 : P3 = 2 : 3 : 5 [profit's ratio]
and x1 : x2 : x3 = 4 : 6 : 9 [investment's ratio]
According to the rule,
Required ratio = P1/x1 : P2/x2 : P3/x3
= 2/4 : 3/6 : 5/9
= 1/2 : 1/2 : 5/9 = 9 : 9 : 10
Let investment of Aarti during first year = 5a
Investment of Vinita during first year = 7a
Investment of kamla during first year = 6a
Then, their investments during second year are
? (126/100) x 5a : (120/100) x 7a : (115/100) x 6a
= 630 : 840 : 690 = 21 : 28 : 23
For management, money received by Anil = 10% of 9000 = ? 900
Balance = ? (9000 - 900) = ? 8100
Now, ratio of investments =12000 : 20000 = 3 : 5
? Anil's share = ? 8100 x 3/(3 + 5)
= ? 8100 x 3/8 = ? 3037.50
? Amount received by Anil = ? 900 + 3037.50
= ? 3937.50
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