Multiple choice

An alloy contains copper, zinc, and nickel in the ratio of 5 : 3 : 2.The quantity of nickel in kg that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is -

  1. 8 kg

  2. 10 kg

  3. 12 kg

  4. 15 kg
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B Correct answer
Explanation

In 100 kg of alloy, copper:zinc:nickel = 50:30:20 kg, so nickel = 20 kg. Let x kg nickel be added. New ratio is 50:30:(20+x) = 5:3:3. From 50:30 = 5:3, this is consistent. Then 20+x must satisfy the nickel part: (20+x)/50 = 3/5, so 20+x = 30, giving x = 10 kg. Therefore, 10 kg of nickel must be added.

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