Quantitative Aptitude Ques 871

Question: An alloy contains zinc, copper and tin in the ratio 2: 3: 1 and another contains copper, tin and lead in the ratio 5: 4: 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead in the new alloy will be

Options:

A) $ \frac{1}{2}kg $

B) $ \frac{1}{8}kg $

C) $ \frac{3}{14}kg $

D) $ \frac{7}{9}kg $

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Answer:

Correct Answer: B

Solution:

  • Quantity of lead in 1 kg of first alloy = 0

$ \therefore $ Quantity of lead in $ 1kg $ of second alloy $ =\frac{3}{12}=\frac{1}{4}kg $

$ \therefore $ Quantity of lead in $ 2kg $ of new alloy $ =\frac{1}{4}+0=\frac{1}{4}kg $

$ \therefore $ Quantity of lead in $ 1kg $ of new alloy $ =\frac{1}{8}kg $