A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 2 months and 7 months respectively. What was the ratio of their investments?  Choose the most appropriate option:
A) 10:12:14  B) 12:24:28  C) 20:22:12  D) 5:49:16  E) None of these
Explanation :   Ratio in which A,B and C shared the profit = 5 : 7 : 8   Assume that the ratio of their investment = a:b:c   Then 14a : 2b : 7c = 5 : 7 : 8   Good to go, we got the equation. Now it's a matter of time to find a, b and c   14a/2b = 5/7   =&gt; 98a = 10b   =&gt; b = 98a/10 = 49a/5 ---(1)   14a/7c =5/8   =&gt; 2a/c =5/8   =&gt; 16a = 5c   =&gt; c = 16a/5 ---(2)   a : b : c = a : 49a/5 : 16a/5 = 1 : 49/20 : 16/5 = 5 : 49 : 16. Answer : Option 5:49:16
<result>D</result>
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 2 months and 7 months respectively. What was the ratio of their investments?