| 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] |
A) 5 : 4
B) 29 : 61
C) 61 : 29
D) 61 : 30
E) 7 : 8
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 |
| \[=\frac{61}{30}:\frac{29}{30}=61:29\] |
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