The index number for the following data, for the year 2011 , taking...

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The index number for the following data, for the year 2011 , taking 2010 as base year was found to be 116 . The simple aggregate method used for the calculation . Find the numerical values of \( x \) and \( y \) if the sum of the prices in the year 2011 is \( ₹ 203 \).
\begin{tabular}{|c|c|c|}
\hline Commodity & \( \begin{array}{c}\text { Price in ₹ } \\
\text { in the year } 2010\end{array} \) & \( \begin{array}{c}\text { Price in ₹ } \\
\text { in the year } 2011\end{array} \) \\
\hline A & 20 & 25 \\
\hline B & 10 & 30 \\
\hline C & 30 & 15 \\
\hline D & 25 & 45 \\
\hline E & \( x \) & 35 \\
\hline F & 50 & \( y \) \\
\hline
\end{tabular}
\( \mathrm{P}^{\mathrm{P}} \)
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