The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X ?()
(1)The increased price per share of stock X was equal to the original price per share of stock Y.
(2)The increase in the price per share of stock X was the decrease in the price per share of stock Y.
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
参考答案:D
解析:
设股票X每股的原始价格为x,则由(1)可得股票Y的每股原始价格为(1+10%)x,每股减少的钱为10%(1+10%)x,因此股票Y每股减少的钱与股票X的每股原始价格的比为[*],所以(1)是充分的;根据(2)可得股票Y每股降的钱为[*],也即股票Y每股减少的钱是股票X的每股原始价格的11%,所以(2)也是充分的。