AMC8 2008

AMC8 2008 · Q9

AMC8 2008 · Q9. It mainly tests Interest / growth (simple).

In $2005$ Tycoon Tammy invested $\$100$ for two years. During the first year her investment suffered a $15\%$ loss, but during the second year the remaining investment showed a $20\%$ gain. Over the two-year period, what was the change in Tammy's investment?

2005 年，Tycoon Tammy 投资了 $\$100$ 两年。第一年她的投资损失了 $15\%$，但第二年剩余投资获得了 $20\%$ 的收益。在两年期间，Tammy 的投资变化是多少？

(A) 5% loss 损失5%

(B) 2% loss 损失2%

(D) 2% gain 获利2%

(E) 5% gain 获利5%

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): At the end of the first year, Tammy’s investment was 85% of the original amount, or \$85. At the end of the second year, she had 120% of her first year’s final amount, or $120\%\text{ of }\$85 = 1.2(\$85) = \$102$. Over the two-year period, Tammy’s investment changed from \$100 to \$102, so she gained 2%.

答案（D）：第一年末，Tammy 的投资变为原始金额的 85%，即 \$85。第二年末，她拥有第一年末金额的 120%，即 $120\%\text{ 的 }\$85 = 1.2(\$85) = \$102$。两年期间，Tammy 的投资从 \$100 变为 \$102，因此她收益了 2%。

Topics

AR.010 Interest / growth (simple)