| Zinc and copper are in the ratio 5: 3 in 400 g of an alloy. How much of copper (in grams) should be added to make the ratio 5: 4? [SSC (CGL) 2014] |
A) 72
B) 200
C) 50
D) 66
Correct Answer: C
Solution :
| Quantity of zinc in the alloy \[=\frac{5}{5+3}\times 400\] |
| \[=\frac{5}{8}\times 400=250\,\,g\] |
| and quantity of copper \[=\frac{3}{5+3}\times 400\] |
| \[=\frac{3}{8}\times 400=150\,\,g\] |
| Let required quantity of copper be \[x\,\,g.\] |
| \[\frac{250}{150+x}=\frac{5}{4}\] |
| \[\Rightarrow \] \[1000=750+5x\]\[\Rightarrow \]\[5x=250\] |
| \[\Rightarrow \] \[x=50\] |
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