BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . Three partners shared the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months, 8 months and 7 moths respectively . What was the ratio of their investments ?

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

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Answer: Option B

Explanation:

Let their investments be Tk. x for 14 months, Tk. y for 8 months and Tk. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now,
14x/8y = 5/7
⇒98x = 40y
⇒y = 49x/20
And, 14x/7z = 5/8
⇒112x = 35z
⇒z = 112x/35 = 16x/5
So x:y:z = x:49x/20:16x/5
(Multiply by 20)
⇒20:49:64

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