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A, B and C investment in a partnership in the ratio of 5 : 6 : 8. The ratio of their profit is 5 : 3 : 12. Find the ratio of time for their investment ?

A, B and C investment in a partnership in the ratio of 5 : 6 : 8. The ratio of their profit is 5 : 3 : 12. Find the ratio of time for their investment ? Correct Answer 2 : 1 : 3

Let , A = 5x B = 6y C = 8z We know , 5x: 6y:8z = 5:3 : 12 ∴ 5x : 6y = 5: 3 ⇒5x9y = 53⇒xy = 5×63×5⇒xy = 21.'. x :y  =  2 : 1.'. x : y : z  =  2: 1 : 3 6y : 8z  =  3 :12 ⇒6y8z = 312⇒yz = 3×86×12⇒yz = 13.'. y : z  =  1: 3 

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