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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 moths respectively . What was the ratio of their investments ?

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 ? Correct 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

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