Arithmetic

Mixture & Alligation

Medium

The ratios of copper to zinc in alloys A and B are 3:4 and 5:9, respectively. If A and B are taken in ratio 2:3 and melted to form new alloy C, then the ratio of copper to zinc in C is:

8:13

3:5

9:11

27:43

✅ Correct Option: 4

Copper
Alloy A	Alloy B
$\frac{3}{7}$	$\frac{5}{14}$
2 parts	3 parts
$\frac{6}{35}+ \frac{15}{70} = \frac{27}{70}$

You can solve, Zinc $=1 - \frac{27}{70} = \frac{43}{70}$

Alternatively:

Zinc
Alloy A	Alloy B
$\frac{4}{7}$	$\frac{9}{14}$
2 parts	3 parts
$\frac{8}{35}+ \frac{27}{70} = \frac{43}{70}$

Therefore, the ratio of copper to zinc in alloy C is 27:43.

Hence, the correct option is Option 4.

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The ratios of copper to zinc in alloys A and B are 3:4 and 5:9, respectively. If A and B are taken in ratio 2:3 and melted to form new alloy C, then the ratio of copper to zinc in C is:

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