Question

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?

A) 4:6:8 B) 4:7:8 C) 4:8:16 D) 4:9:16

Answer 1

Answer:

C)-Part......4:8:16......

Answer 2

Answer:

D)  4:9:16

Step-by-step explanation:

Let a, b, and c equal to the months given:

 = 12A , 8B, and 6C

Then, equate them with their respected ratio:

 = 4 : 6 : 8  =  12A : 8B : 6C

Therefore, to get the ratio of A, partner A, and B with their given ratios

 =  12A/8B  :  4/6

 =  32/72  or  4/9

To get the ratio of B, partner B, and C with their given ratios

 = 8B/6C  :  6/8

 =36/64  or  9/16

To get the ratio of C, partner C, and A with their given ratios

 = 6C/12A  :  8/4

 =  96/24  or   16/4

Then, we can have the value of :

   A  = 4

   B  = 9

   C  = 16

So, the ratio would be:

D) 4:9:16