Sawaal
34
Q:

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 ?

A) 4:3 B) 3:4
C) 5:6 D) 7:9

Answer:   D) 7:9



Explanation:

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:
Cost of 1 litre mixture in A                          Cost of 1 litre mixture in B

 


 

 Required ratio = 1/13 : 9/91 = 7:9.

Subject: Alligation or Mixture
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