| Two equal vessels are filled with the mixtures of water and milk in the ratio of 3: 4 and 5: 3, respectively. If the mixture are poured into a third vessel, the ratio of water and milk in the third vessel will be [SSC (CGL) 2011] |
A) 15 : 12
B) 53 : 59
C) 20 : 9
D) 59 : 53
Correct Answer: D
Solution :
| Quantity of water in first vessel \[=\frac{3}{7}\] |
| \[\therefore \] Quantity of milk in first vessel \[=\frac{4}{7}\] |
| Quantity of water in second vessel \[=\frac{5}{8}\] |
| \[\therefore \] Quantity of milk in second vessel \[=\frac{3}{8}\] |
| Ratio of water and milk in third vessel |
| \[=\,\,\,\frac{\frac{3}{7}+\frac{5}{8}}{\frac{4}{7}+\frac{3}{8}}=\frac{24+35}{32+21}=\frac{59}{53}\] |
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