Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k
Then A's capital = k/6 B's capital = k/8
and C's capital = k/10
? Ratio of capitals of A, B, and C = (k/ 6) : (k/8) : (k/10) = 20 : 15 : 12.
Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
? N + (N + 5000) + (N + 12000) = 47000
? N = 10000
Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10
? B's share = Rs. (9400 x 15)/47 = Rs. 3000
Let the amount invested by Ramesh = Rs. N
Then, 20000 x 6 : 12N = 6000 : 3000
? 120000/12N = 2/1
? N = 5000
Ratio of shares = 12000 x 24 : 16000 x 24 : 15000 x 16 = 6 : 8 : 5
? C's share = Rs. 45600 x (5/19) = Rs. 12000
A : B : C = 2000 x 12 : 3000 x 24 : 4000 x 24 = 1 : 3 : 4
A's share = Rs. 3200 x (1/8) = Rs. 400
Suppose A invested Rs. N.
Then A : B : C = 12N : 6 x (2N) : 4 x (3N) = 1 : 1 : 1
? C's share = Rs. (18000) x 1/3 = Rs. 6000
Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.
Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9
? B's share = Rs. 21600 x (10/54) = Rs. 4000
Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
? Total investment of 6 people = 6(N - 12000)
? 4N = 6(N - 12000)
? 4N = 6N - 72000
? 2N = 72000
? N = 36000
Hence total investment = 4 x 36000 = Rs. 144000
Ratio between the investment of A and B = (8000 x 12) : (5000 x 9)
= 96000 : 45000 = 32 : 15
Total profit = Rs. 2350
? A's share = [32/(32 + 15)] x 2350 = Rs. 1600
? B's share = 2350 - 1600 = Rs. 750
? Required difference = 1600 - 750 = Rs. 850
Ratio of rent = (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent = Rs. N
Then A's share = Rs. (N x 72)/325 = Rs. 72N / 325
? 72N / 325 = 360
? N = (325 x 360)/72 = Rs. 1625
Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily.
Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167
? (3k - 45600) / 5k = 14 / 29
? k = 77788.24
? A investment initially Rs. (77788.24 x 3) = Rs. 233364.71
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