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The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is -

A. 120 : 133

B. 227 : 133

C. 227 : 120

D. 133 : 227

Answer: Option D

Solution(By Examveda Team)

According to the question,

\[\begin{gathered} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Acid}}\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Water}}\,\,\,\,\,\,{\text{Total}} \hfill \\ \left. \begin{gathered} {\text{Sample I}}\,\,\,\,\,\,\,\,{{\text{2}}_{ \times 40}} = 80\,\,\,\,:\,\,\,\,{1_{ \times 40}} = 40\,\,\,\,\,\,{3_{ \times 40}} \hfill \\ \hfill \\ {\text{Sample II}}\,\,\,\,\,\,{3_{ \times 24}} = 72\,\,\,\,\,:\,\,\,\,{2_{ \times 24}} = 48\,\,\,\,{5_{ \times 24}} \hfill \\ \hfill \\ {\text{Sample III}}\,\,\,\,\,\underline {{5_{ \times 15}} = 75} \,\,\,\,:\,\,\,\,\,\underline {{3_{ \times 15}} = 45} \,\,\,\,{8_{ \times 15}} \hfill \\ \end{gathered} \right]120 \hfill \\ \end{gathered} \]

\[{\text{Ratio of quantity }}\boxed{\,\,\,227\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,133\,\,\,}\]
$${\text{Required ratio = }}133:227$$

This Question Belongs to Arithmetic Ability >> Alligation

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