Three partners A B C shared their profit in the ratio 4 5 6 If A partnered for 10 months B partnered for 15 months and C partnered for 16 months what is the ratio of their investments

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Let their investments be Rs. x for 10 months, Rs. y for 15 months and Rs. z for 16 months respectively.
Then, 10x : 15y : 16z = 4 : 5 : 6

Now, 10x/15y = 4/5  50x = 60y

y = 50x/60

And, 10x/16z = 4/6

60x = 64z

z = 60x/64 = 15x/16

So x : y : z = x : 50x/60 : 15x/16

48 : 40 : 45.

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