# X, Y and Z invest in partnership in the ratio 4 : 7 : 11. If in the end the profit was distributed in the ratio 24 : 35 : 77, then find the ratio of the time for which they were invested?   Option 1)   7 : 11 : 5           Option 2)   5 : 6 : 7   Option 3)   5 : 11 : 7            Option 4)   6 : 5 : 7   Option 5)   -

X, Y, and Z invest in partnership in the ratio 4 : 7 : 11. If in the end the profit was distributed in the ratio 24 : 35 : 77, then  the ratio of the time for which they were invested is:

$x : y : z = 4 : 7 : 11$

$=> 4x : 7y: 11Z = 24\ast 35\ast 77$

$so, \, x : y: z= 6 : 5: 7$

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