On January $1, 2010,$ Dave invests $70\%$ of his retirement savings in Antarctic large-cap stocks, $20\%$ in

On January $1, 2010,$ Dave invests $70\%$ of his retirement savings in Antarctic large-cap stocks, $20\%$ in Antarctic midcaps, and $10\%$ in Antarctic small-caps. In $2010,$ large-caps rise $5\%,$ midcaps rise $10\%,$ and small caps rise $15\%$ in the Antarctic stock market; however, in $2011,$ large-caps fall $10\%$ and midcaps fall $20\%,$ while small caps rise $x\%$ in Antarctica. If on January $1, 2012,$ Dave has the same total amount of retirement savings as he did two years before, then $x$ is between

A. 10 and 20
B. 20 and 30
C. 30 and 40
D. 40 and 50
E. 50 and 60

Answer: D

Source: Manhattan GMAT

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