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
Ratio of capital in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 : 12.
Ratio of investment for the whole year = (20 x 4 + 10 x 8) : (15 x 12) : (12 x 12) = 40 : 45 : 36
? A's share = Rs. (847 x 40)/121 = Rs. 280
Total investment = (100/15) x 45000 = ? 300000
? Investment of Avinash : Investment of Manoj : investment of Arun = 3 : 2 : 5
? Investment of Manoj = (2/10) x 300000 = ? 60000
A's share : B's share
= 900 x 12 : 45000 x (12 - 6)
= 12 : 5 x 6 = 2 : 5
Let the amount invested by Ramesh = Rs. N
Then, 20000 x 6 : 12N = 6000 : 3000
? 120000/12N = 2/1
? N = 5000
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 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.
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
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