The value of a rare baseball card \(A\) appreciated by \(20\) percent over a five-year period; over the next five years, the value plummeted by \(50\) percent. Over the same total time period, the value of another card \(B\) increased by \(100\%.\) At the end of ten years, the reduced value of \(A\) was what percent of the increased value of \(B?\)

(1) Card \(A\)'s initial value was \(\$1000.\)
(2) The initial value of \(A\) was four times that of \(B.\)

Answer: B

Source: Veritas Prep