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In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32 ?
Answer & Solution
Correct Answer:
Option
C
According to the question,
\[\begin{gathered} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Chromium}}\,\,{\text{Steel}} \hfill \\ {\text{Type 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,2\,\,\,\,:\,\,\,\,\,11 \hfill \\ {\text{Type 2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5\,\,\,\,{\text{:}}\,\,\,\,\,\,\,21 \hfill \\ \end{gathered} \]
Now using alligation,
\[{\text{Ratio of quantity }} \to \boxed{\,\,1\,\,\,\,\,\,:\,\,\,\,\,\,2\,\,}\]
\[\begin{gathered} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Chromium}}\,\,{\text{Steel}} \hfill \\ {\text{Type 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,2\,\,\,\,:\,\,\,\,\,11 \hfill \\ {\text{Type 2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5\,\,\,\,{\text{:}}\,\,\,\,\,\,\,21 \hfill \\ \end{gathered} \]
Now using alligation,
\[{\text{Ratio of quantity }} \to \boxed{\,\,1\,\,\,\,\,\,:\,\,\,\,\,\,2\,\,}\]
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