Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5?  Pick one:  A) 4 : 3  B) 3 : 4  C) 5 : 6  D) 7 : 9  E) None
Let the C.P. of spirit be Re. 1 litre.   Spirit in 1 litre mix. of A = 5/7 litre, C.P. of 1 litre mix. in A = Re. 5/7   Spirit in 1 litre mix. of B = 7/13 litre, C.P. of 1 litre mix. in B = Re. 7/13   Spirit in 1 litre mix. of C = 8/13 litre, Mean price = Re. 8/13.   By the rule of alligation, we have:   Required ratio = 1/13 : 9/91 = 7 : 9.   Answer 7 : 9
<result>D</result>
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5?