| A and B are two alloys of gold and copper in the ratio 7: 2 and 7: 11, respectively. If equal quantities of these two alloys are melted to form a new alloy C, then the ratio of gold and copper in C is |
A) 6 : 5
B) 9 : 4
C) 12 : 7
D) 7 : 5
Correct Answer: D
Solution :
| 1 kg of each mixture is taken |
| A = 7: 2 = 14 : 4 |
| Gold \[=\frac{14}{18};\] Copper \[=\frac{4}{18}\] |
| \[B=7:11\] |
| Gold\[=\frac{7}{18};\] Copper \[=\frac{11}{18}\] |
| \[\therefore \]Required ratio \[=\left( \frac{14}{18}+\frac{7}{18} \right):\left( \frac{4}{18}+\frac{11}{18} \right)\] |
| = 21: 15 = 7: 5 |
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