Question

An alloy of copper and tin contains 65% of copper. If 12 kg of more tin is added to the alloy, the copper content gets reduced to 50%. Find the quantity of the new alloy.

A 58 kg Correct Answer Incorrect Answer
B 48 kg Correct Answer Incorrect Answer
C 32 kg Correct Answer Incorrect Answer
D 56 kg Correct Answer Incorrect Answer
E 52 kg Correct Answer Incorrect Answer

Solution

Ratio of copper to tin in the alloy = 13:7 Let the quantity of copper and tin in the alloy be 13x kg and 7x kg, respectively. According to question, 13x = 7x + 12 x = 2 kg So, the quantity of new alloy = 13x + 7x + 12 = 20x + 12 ⇒ 40 + 12 = 52 kg

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