| Two equal vessels are filled with the mixtures of water and milk in the ratio of 3: 4 and 5: 3, respectively. If the mixtures are poured into a third vessel, then the ratio of water and milk in the third vessel will be |
| [SSC (CGL) 2011] |
A) 15 : 12
B) 53 : 59
C) 16 : 31
D) 59 : 53
Correct Answer: D
Solution :
| Let the capacity of each vessel \[=1\,\,\text{L}\] |
| \[\therefore \]In first vessel, |
| Water \[=\frac{3}{7}\,\,\text{L}\]and milk \[=\frac{4}{7}\text{L}\] |
| In second vessel, |
| Water \[=\frac{5}{8}\text{L}\]and milk\[=\frac{3}{8}\,\,\text{L}\] |
| In 2 L of mixture, |
| Water: Milk\[=\frac{3}{7}+\frac{5}{8}:\frac{4}{7}+\frac{3}{8}\] |
| \[=\frac{24+35}{56}:\frac{32+21}{56}\] |
| \[=59:53\] |
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