A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 2 and 7 11 respec...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7:2 and 7:11 respectively. If equal quantities of alloys are melted to form a third alloy C, find the ratio of gold and copper in C.

7:5

2:3

17:113

none of these

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Explanation:

Let 1 kg of each one of A and B be taken to form 2 kg of C.
Gold in 1 kg of A = 7/9, copper in 1 kg of A = 2/9
Gold in 1 kg of B = 7/18, copper in 1 kg of B = 11/18
Gold in 2 kg of C = (7/9 + 7/18) = 21/18 = 7/6
Copper in 2 kg of C = (2/9 + 11/18) = 15/18 = 5/6
Ratio of gold and copper in C = 7/6 : 5/6 = 7:5