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) 30 : 20 : 15
E) None of these
Explanation:   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 =	49/20X   And,	14x /7Z =5/8 =&gt; 112X=35Z=&gt;z =	112/35 X 16/5X   x : y : z = x :49/20 X 16/5X =20 : 49 : 64.   ANSWER IS 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?