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

Three partners shared the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months, 8 months and 7 months respectively . What was the ratio of their investment ? Correct Answer 20 : 49 : 64

Let, their investment respectively for 14,8 and 7 month is = 14x,8x2 and 7x3ATQ, 14x1 : 8x2 : 7x3 = 5 :7 : 8⇒x1:x2:x3 = 514:78:87 = 20:49:64 

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