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Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?

Correct Answer: 193 : 122

Explanation:

Given the three mixtures ratio as (1:2),(2:3),(3:4)


(1+2),(2+3),(3+4)


Total content = 3,5,7


 


Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105


105/3 = 35 , 105/5 = 21 , 105/7 = 15


 


Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)


 i.e (35,70), (42,63), (45,60)


 


So overall mixture ratio of milk and water is


35+42+45 : 70+63+60


122:193


 


But in the question asked the ratio of water to milk = 193 : 122


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