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 [SSC (CGL) 2011] |
A) 8 kg
B) 10 kg
C) 12kg
D) 15 kg
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 \[=10\times 2=20\,\,kg\] |
Let x kg of nickel be mixed. |
Then, \[\frac{20+x}{100+x}=\frac{3}{11}\] |
\[\Rightarrow \] \[220+11x=300+3x\] |
\[\Rightarrow \] \[11x-3x=300-220\] |
\[\Rightarrow \] \[8x=80\] |
\[\therefore \] \[x=10\,\,kg\] |
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