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Alloy A contains copper and zinc in the ratio of 4 : 3 and alloy B contains copper and zinc in the ratio of 5 : 2. A and B are taken in the ratio of 5 : 6 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to:
Answer & Solution
Correct Answer:
Option
D
\[\begin{array}{*{20}{c}}
{{\text{Copper}}}&{}&{{\text{Zinc}}}&{} \\
4&:&3&{ \Rightarrow {7_{ \times 5}}} \\
5&:&2&{ \Rightarrow {7_{ \times 6}}}
\end{array}\]
\[\begin{array}{*{20}{c}} {{\text{Copper}}\,\,\,\,\,{\text{Zinc}}} \\ {20\,\,\,\,\,:\,\,\,\,\,15} \\ {30\,\,\,\,\,:\,\,\,\,\,12} \\ {\overline {\,50\,\,\,\,\,:\,\,\,\,\,27\,} } \end{array}\]
$${\text{Zinc }}\% = \frac{{27}}{{77}} \times 100 = 35\% $$
\[\begin{array}{*{20}{c}} {{\text{Copper}}\,\,\,\,\,{\text{Zinc}}} \\ {20\,\,\,\,\,:\,\,\,\,\,15} \\ {30\,\,\,\,\,:\,\,\,\,\,12} \\ {\overline {\,50\,\,\,\,\,:\,\,\,\,\,27\,} } \end{array}\]
$${\text{Zinc }}\% = \frac{{27}}{{77}} \times 100 = 35\% $$
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