The price of each share of stock \(K\), when traded at a certain stock exchange, first goes up by \(p\) percent and

The price of each share of stock \(K\), when traded at a certain stock exchange, first goes up by \(p\) percent and then falls down by \(p\) percent every alternate day. After one such up-down cycle, the price of the stock fell by \(\$2\). If, after another such up-down cycle, the price per share of stock \(K\) comes to \(\$196.02\), what was the original price per share of stock \(K?\)

A) \(\$300\)
B) \(\$270\)
C) \(\$250\)
D) \(\$200\)
E) \(\$150\)

The OA is D