Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3 in what ratio must these mixtures be mixed to form new mixture containing half milk and half water? Choose the most appropriate option
A) 7:6 B) 7:1 C) 7:5 D) 7:2 E) 7:8
Answer with Explanation: Step (i): Let C.P. of 1 liter milk be Re.1 Ratio of mixture in A = 4:3  Milk in 1 litre mixture in A = 4/7 lit,  C.P of 1 litre mix of A = Rs. 4/7 Ratio of mix in B = 2:3  Milk in 1 litre mixture in B = 2/5 lit,  C.P of 1 litre mix of B = Rs. 2/5 Ratio of new mixture = 1:1  Milk in 1 litre mixture = 1/2 lit,  C.P of 1 litre mix = Rs. ½ (Mean price = re. ½ ) Step (ii) By the rule of alligation C.P. of 1 lit mix. In A (d) C.P. of 1 lit mix. In B (c) 4/7 2/5   Mean Price (m)   m-c (1/2 – 2/5) = 1/10 1/2 d-m (4/7 – 1/2) = 1/14   Required Ratio = 1/14 : 1/10 = 7 : 5   Answer:7:5
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Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3 in what ratio must these mixtures be mixed to form new mixture containing half milk and half water?