A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments?
Choose the correct option.
A) 10:12:14  B) 12:24:28  C) 20:22:12  D) 20:49:32  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 : 8b : 14c = 5 : 7 : 8   Good to go, we got the equation. Now it's a matter of time to find a, b and c   14a/8b = 5/7   =&gt; 98a = 40b   =&gt; b = 98a/40 = 49a/20 ---(1)   14a/14c =5/8   =&gt; a/c =5/8   =&gt;8a = 5c   =&gt; c = 8a/5 ---(2)   a : b : c = a : 49a/20 : 8a/5 = 1 : 49/20 : 8/5 = 20 : 49 : 32. Answer : Option 20:49:32
<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, 8 months and 14 months respectively. What was the ratio of their investments?