Three partners 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?  Pick:
A) 5 : 7 : 8 B) 20 : 49 : 64 C) 38 : 28 : 21 D) None of these E) Cannot be determined
Solution: Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.   Then, 14x : 8y : 7z = 5 : 7 : 8.   Now, 14x/8y = 5/7 =&gt; 98x = 40y   =&gt; y = 49/20 x   And, 14x/7z = 5/8   =&gt; 112x = 35z   =&gt; z = 112/35 x = 16/5 .x.   So x : y : z = x : 49/20 x : 16/5 x = 20 : 49 : 64.   Answer: Option 20 : 49 : 64
<result>B</result>
Three partners 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?