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 ?

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Satt Academy · Accepted Answer

20 : 49 : 64  - 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

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 ?

লাভ-ক্ষতি (Profit and loss) টপিকের বিষয়বস্তুঃ

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