A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 10 months and 7 months respectively. What was the ratio of their investments? Pick one.
A) 10:12:14
B) 12:24:28
C) 20:22:12
D) 25:49:80
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 : 10b : 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/10b = 5/7   =&gt; 98a = 50b   =&gt; b = 98a/50 = 49a/25 ---(1)   14a/7c =5/8   =&gt; 2a/c =5/8   =&gt; 16a = 5c   =&gt; c = 16a/5 ---(2)   a : b : c = a : 49a/25 : 16a/5 = 1 : 49/25 : 16/5 = 25 : 49 : 80. Answer : Option 25:49:80
<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, 10 months and 7 months respectively. What was the ratio of their investments?