Quantitative Aptitude Ques 374

Question: The ratio of milk to water in three containers each with similar capacity are 3: 2, 7: 3 and 11: 4, respectively. The contents of all three containers are emptied into single vessel, then proportion of milk and water in it, will be

[IBPS (Office Assistant) 2015]

Options:

A) 5 : 4

B) 29 : 61

C) 61 : 29

D) 61 : 30

E) 7 : 8

Show Answer

Answer:

Correct Answer: C

Solution:

  • Quantity of milk and water in first container $ =\frac{3}{5}, $ $ \frac{2}{5} $ Quantity of milk and water in second container $ =\frac{7}{10}, $ $ \frac{3}{10} $ and quantity of milk and water in third container $ =\frac{11}{15}, $ $ \frac{4}{15} $ Now, all this mixture poured in a single vessel.

$ \therefore $ Total quantity of milk $ =\frac{3}{5}+\frac{7}{10}+\frac{11}{15}=\frac{122}{60}=\frac{61}{30} $ and total quantity of water $ =\frac{2}{5}+\frac{3}{10}+\frac{4}{15}=\frac{58}{60}=\frac{29}{30} $

$ \therefore $ Required ratio of milk and water $ =\frac{61}{30}:\frac{29}{30}=61:29 $