Question No: 3
DIRECTION for the question: Solve the following question and mark the best possible option
An alloy contains 40% silver and 60% nickel. How much silver should be added to 120 kg of that alloy, so that the new alloy will contain 46% of silver?
13 kg
46 kg
23 kg
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Answer:
In alloy of 129 kg
weight of silver = 40% of 120
= 40*120/100
= 48 kg
weight of nickel = 60% of 120 kg
= 60*120/100
= 72 kg.
now, let x kg silver is added to the alloy
weight of silver = (48 + x) kg
weight of alloy = (120 + x) kg
percentage of silver = 46
(48 + x)*100/(120 + x) = 46
4800 + 100x = 5520 + 46x
100x - 46x = 5520 - 4800
54x = 720
x = 720/54
x = 40/3
x = 13.33 kg
so best possible option is 13 kg.
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