Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments? Select:  A) 4 : 9 : 19  B) 4 : 9 : 12  C) 4 : 9 : 11  D) 4 : 9 : 16  E) 4 : 9 : 77
Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.   Then, 12x : 8y : 6z = 4 : 6 : 8   Now, 12x/8y = 4/6 &lt;=&gt; 9x=4y &lt;=&gt; y=9x/4   And, 12x/6z = 4/8 &lt;=&gt; 4x=z &lt;=&gt; z=4x   Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16   Answer: 4 : 9 : 16
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Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?