Question: An alloy contains copper, zinc and nickel in the ratio of 5: 3: 2. The quantity of nickel in kilogram that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is
Options:
A) 8 kg
B) 10 kg
C) 12kg
D) 15 kg
Show Answer
Answer:
Correct Answer: B
Solution:
- Let quantity of copper be $ 5x. $
Quantity of zinc be $ 3x $
Quantity of nickle be $ 2x $
Now, $ 5x+3x+2x=100kg $
$ \therefore $ Quantity of nickle $ =10\times 2=20kg $
Let x kg of nickel be mixed.
Then, $ \frac{20+x}{100+x}=\frac{3}{11} $
$ \Rightarrow $ $ 220+11x=300+3x $
$ \Rightarrow $ $ 11x-3x=300-220 $
$ \Rightarrow $ $ 8x=80 $
$ \therefore $ $ x=10kg $