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 7 months respectively. What was the ratio of their investments?	Choose the correct choice from the following answers:
A) 20:64:49 B) 49:20:64 C) 49:64:20 D) 64:49:20 E) 20:49:64
Ratio in which A,B and C shared the profit =5:7:8   Assume that the ratio of their investments =a:b:c   ⇒14a:8b:7c=5:7:8⋯(A)   From (A),   14a:8b=5:7   ⇒14a×7=8b×5   ⇒7a×7=4b×5   ⇒b=49a/20⋯(1)   From (A),   14a:7c=5:8   ⇒14a×8=7c×5   ⇒2a×8=c×5   ⇒c=16a/5⋯(2)   a:b:c=a:49a/20:16a/5   =1:49/20:16/5   =20:49:64   Answer is 20:49:64.
<result>E</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 7 months respectively. What was the ratio of their investments?