AMC8 1997

AMC8 1997 · Q16

AMC8 1997 · Q16. It mainly tests Fractions, Interest / growth (simple).

Penni Precisely buys $100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20%, BB was down 25%, and CC was unchanged. For the second year, AA was down 20% from the previous year, BB was up 25% from the previous year, and CC was unchanged. If A, B, and C are the final value of the stock, then

Penni Precisely 在三家公司：Alabama Almonds、Boston Beans 和 California Cauliflower 各购买了价值 $100 的股票。一年后，AA 上涨 20%，BB 下跌 25%，CC 不变。第二年，AA 较前一年下跌 20%，BB 较前一年上涨 25%，CC 不变。如果 A、B 和 C 是股票的最终价值，则

(A) $A = B = C$ $A = B = C$

(B) $A = B < C$ $A = B < C$

(D) $A < B < C$ $A < B < C$

(E) $B < A < C$ $B < A < C$

Answer

Correct choice: (E)

正确答案：（E）

Solution

Answer (E): At the end of two years, stock values are: Stock AA: \$100(1.2)(0.8) = \$96 Stock BB: \$100(0.75)(1.25) = \$93.75 stock CC: \$100(1)(1) = \$100 So, $B < A < C$.

答案（E）：两年末，各股票价值为：股票 AA：\$100(1.2)(0.8) = \$96 股票 BB：\$100(0.75)(1.25) = \$93.75 股票 CC：\$100(1)(1) = \$100 因此，$B < A < C$。

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