A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 4 months and 7 months respectively. What was the ratio of their investments? Choose the correct choice:	A) 10:12:14	B) 12:24:28	C) 20:22:12	D) 10:49:32	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 : 4b : 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/4b = 5/7   =&gt; 98a = 20b   =&gt; b = 98a/20 = 49a/10 ---(1)   14a/7c =5/8   =&gt; 2a/c =5/8   =&gt; 16a = 5c   =&gt; c = 16a/5 ---(2)   a : b : c = a : 49a/10 : 16a/5 = 1 : 49/10 : 16/5 = 10 : 49 : 32. Answer : Option 10:49:32
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A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 4 months and 7 months respectively. What was the ratio of their investments?