Question: 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?
Options:
A) 72
B) 200
C) 50
D) 66
Show Answer
Answer:
Correct Answer: C
Solution:
- Quantity of zinc in the alloy $ =\frac{5}{5+3}\times 400 $
$ =\frac{5}{8}\times 400=250g $
and quantity of copper $ =\frac{3}{5+3}\times 400 $
$ =\frac{3}{8}\times 400=150g $
Let required quantity of copper be $ xg. $
$ \frac{250}{150+x}=\frac{5}{4} $
$ \Rightarrow $ $ 1000=750+5x $
$ \Rightarrow $ $ 5x=250 $
$ \Rightarrow $ $ x=50 $