Ratio of shares = 27000 : 81000 : 72000 = 3 : 9 : 8
If Ram's share is Rs. 9 then total profit = Rs. 20
If Ram's share is Rs. 36000 then total profit = Rs. (20/9) x 36000
= Rs. 80000
Suppose B invested Rs. x for y months.
Then A's investment is Rs. 3x for 2y months.
Ratio of investment of A and B = 6xy : xy = 6 : 1.
Now B's share = Rs. 4,000
? A's share = Rs. 24, 000
Hence, Total profit = Rs. 28,000
Suppose B invested the money for N months.
Then the ratio of investment = (12 x 11 : 11 x N) = 12 : N
? 12/N = 4/1
? N = 3 months.
Ratio between the investment of Pramod and Vikas = 40000 x 12 : 60000 x 8
= 480000 : 480000 = 1 : 1
Total profit = Rs. 16000
share of Vikas in profit = 16000/2 = Rs. 8,000
Let the saving of A and B are 4p, 5p and the share in cost of gift are 3q, 4q respectively.
According to the question,
For A, 4p - 3q = (2/3) x 4p
? p = 9q/4 ..... (i)
For B, 5p - 4q = 145
? 5 x (9q/4) - 4q = 145 .....[by Eq. (ii)
? q = 20
? Cost of gift = 3q + 4q = 7 x 20
= ? 140
Given ratio of employee = 9 : 13 : 18
Let number of A's emplouees = 9k
Number of B's employees = 13k
and number of C's employees = 18k
According to the question
18k = 54
? k = 3
? Number of employee of type A = 9 x 3 = 27
Similarly, Wages of every employee of types A = 10/7 x 1400 = ? 2000
Required wages = 27 x 2000 = ? 54000
Let C's share = Rs. N
Then B's share = Rs. N/2
and A's share = Rs. N/4
? A : B : C = N/4 : N/2 : N = 1 : 2 : 4
Hence C's share = Rs. 700 x (4/7) = Rs. 400
Ratio of their shares = (6000 x 12) : (4000 x 6) = 3 : 1
? Madhu's share = Rs.5200 x (1/4)
? 30000/N = 2/3
? 2N = 90000
? N = 45000
Let C's capital = Rs.N Then B's capital = Rs. 4N
? 2(A's capital) = 3 (B's capital) = 12N
? A's capital = 6N
? A : B : C = 6N : 4N : N = 6 : 4 : 1
? C's share = Rs. 5940 x (1/11) = Rs. 540
Let C's capital = Rs. x
Then B's capital = Rs. 3x and A's capital = Rs. 6x
? Ratio of capital of A, B, and C = 6x : 3x : x = 6 : 3 : 1
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