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Quantitative Aptitude

Mixture & Alligations

Two alloys co...

Question

Two alloys composed of gold and silver together weight 20 kg. One lump contains 75% gold and 31.25 gm per kg silver. Another alloy contains 85% gold and 30 gm per kg silver. The total quantity of silver in two lumps is 617.5 gm. If the two lumps are melted and formed into one, what percentage of gold will it contain?

50%

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89%

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78%

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67%

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Solution

The correct option is C 78%
Eliminating the option, we get (c) answer because average always lies between greatest and lowest.
OR by solving, we get
31.25(x) + 30(20-x) = 617.5
=> x = 14
So, we have to mix 14 kg of the alloy containing 75% gold with 6 kg of the alloy containing 85% gold which gives 78% gold in our final solution.

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