A certain portfolio consisted of \(5\) stocks, priced at \(\$20, \$35, \$40, \$45\) and \(\$70,\) respectively. On a given day, the price of one stock increased by \(15\%,\) while the price of another decreased by \(35\%\) and the prices of the remaining three remained constant. If the average price of a stock in the portfolio rose by approximately \(2\%,\) which of the following could be the prices of the shares that remained constant?

A. \(20, 35, 70\)
B. \(20, 45, 70\)
C. \(20, 35, 40\)
D. \(35, 40, 70\)
E. \(35, 40, 45\)

Answer: E

Source: Veritas Prep