A's share : B's share
= 900 x 12 : 45000 x (12 - 6)
= 12 : 5 x 6 = 2 : 5
A's share : B's share
= Ratio of products of investment and time period of investment
= (4000 x 12) : 16000 x (12 - 3)
= 4 x 12 : 16 x 9
= 1 : 3
Note Here, the partnership is compound, in which A invested for 1 yr or 12 month and B invested 3 months later. it does mean B invested for (12 - 3) months.
Let investment of R = N
Then, investment of Q = 2N/3
and investment of P = 2N
? Ratio of capitals of P, Q and R = 2N : (2N/3) : N
= 6N : 2N : 3N = 6 : 2 : 3
Let pinku's share = 7N
Rinku's share = 8N
Tinku's share = 6N
According to the question,
7N + 8N + 6N = 4200
? 21N = 4200
? N = 4200/21 = 200
Hence. amount of Pinku = 7N = 7 x 200 = ? 1400
Amount of Rinku = 8N = 8 x 200 = ? 1600
Amount of Tinku = 6N = 6 x 200 = ? 1200
Now. ? 200 is added to each share
Then,
New ratio of shares
= (1400 + 200) : (1600 + 200) : (1200 + 200)
= 1600 : 1800 : 1400
= 16 : 18 : 14 = 8 : 9 : 7
Reena's share : Reema's share : Meera's share
Ratio of time period for which the car was used
= 14 : 16 : 22 = 7 : 8 : 11
Amount paid by Meera = [11/ (7+8+11)] x 2080 = (11/26) x 2080
= 11 x 80 = ? 880
Share of Rakesh : Share of Dinesh : Share of Mahesh
= 5000 : 8000 : 12000 = 5 : 8 : 12
Total earned profit = ? 12500
? Share of Dinesh in profit
= [8/(5 + 8 + 12)] x 12500 = (8/25) x 12500
= 8 x 500 = ? 4000
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
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
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
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
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
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