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?  Choose one:  A) 5 : 7 : 8  B) 20 : 49 : 64  C) 38 : 28 : 21  D) 3:7:9  E) None of these
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   then 98x = 40y   then y =	49/20x   And,	14x/7z=5/8   then112x= 35z   and z =(112/35 )x =(16/5 )x.   x : y : z = x :	(49/20)x	:(16/20)x	= 20 : 49 : 64   ANSWER: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?