Two vesssel A and B contain milk and water in the ratio 7:3 and 3:2.find the ratio in which quantities be taken from the two vessels so that the ratio of milk and water in the new mixture is 2:1.

• Let the CP of milk be rs 1/litre
  milk in 1litre mixture of A= 7/10 L ; CP of 1L mix. in A =7/10
  milk in 1L mix. of B= 3/5 L ; CP of 1L mix. in B = 3/5
  milk in 1L mix. of C= 2/3 L ; Mean price =2/3
  By rule of alligation
  Required ratio= (CP of 1L mix. in B - mean price)/ (mean price - CP of 1L mix. in A)
  = (3/5-2/3)/(2/3-7/10)
  =(-1/15)/(-1/30)
  =2:1 (ans)
  
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