In a business, three friends X,Y and Z shared the profit in the ratio 5:7:8. X invested his amount for 14 months, Y for 8 months and Z for 7 months respectively. Find the ratio of their investments?  Options.
A) 19:49:64	B) 20:49:64	C) 20:49:65	D) 20:50:64	E) None
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; y = (49/20)x 14x/7z = 5/8 =&gt; z = (16/5)x =&gt; x : y : z = x : (49/20)x : (16/5)x =&gt; x : y : z = 20 : 49 : 64   Answer 20:49:64
<result>B</result>
In a business, three friends X,Y and Z shared the profit in the ratio 5:7:8. X invested his amount for 14 months, Y for 8 months and Z for 7 months respectively. Find the ratio of their investments?