A, B and C are partners in a business. A, whose money has been used for 4 months, claims 1/8 of the profit. B, whose money has been used for 6 months, claims 1/3 of the profit. C had invested tk 1560 for 8 months. How much money did A and B contribute together? (Sonali Cash 18)

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A, B and C are partners in a business. A, whose money has been used for 4 months, claims 1/8 of the profit. B, whose money has been used for 6 months, claims 1/3  of the profit. C had invested tk 1560 for 8 months. How much money did A and B contribute together?

Sonali Bank Officer cash Written 2018.

Exam taker : Ahsanullah University of Science & Technology ( aust)

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Ratio of thier prifit= 1/8 : 1/3 : (1-(1/8+1/3))
= 1/8 : 1/3 : 13/24
= 3:8:13
Now,for A & C
A*4 :c*8 = 3:13
A*4 :1560*8 = 3:13
A = (1560*8*3)/(4*13) = 720
For B & C,
B*6 :c*8 = 8:13
B*6 :1560*8 = 8:13
B = (1560*8*8)/(6*13) = 1280
Contribution by A & B together
= 720+1280= 2000

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Let total profit x tk.
Then, A’s share =x/8;B’s share =x/3
C’s share =x-(x/8+x/3)=13x/24
Ratio =x/8:x/3:13x/24=3:8:13
Again let A invested p for 4 month’s and B invested q for 6 months. So their investment ratio 4p :6q :1560*8=3:8:13
Therefore p=720 & q=1280.

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Shortcut,
A   :  B  :  C
[(960*3)/4]  :   [(960*8)/6]  :   [(1560*8)13] =720     :   1280   :     960

So, A:B= 720 And 1280

Ans: 720 and 1280

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