A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 28 months, 8 months and 7 months respectively. What was the ratio of their investments?  Select the correct option:
A) 10:12:14
B) 12:24:28
C) 20:22:12
D) 10:49:64
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 28a : 8b : 7c = 5 : 7 : 8   Good to go, we got the equation. Now it's a matter of time to find a, b and c   28a/8b = 5/7   =&gt; 196a = 40b   =&gt; b = 196a/40 = 49a/20 ---(1)   28a/7c =5/8   =&gt; 4a/c =5/8   =&gt;32a = 5c   =&gt; c =32a/5 ---(2)   a : b : c = a : 196a/40 : 32a/5 = 1 : 196/40 : 32/5 = 10 : 49 : 64. Answer : Option 10:49:64
<result>D</result>
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 28 months, 8 months and 7 months respectively. What was the ratio of their investments?