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Solve the problem. Round to the nearest tenth of a percent.In 1999 startup company increased workforce by 30%. In 2001it decreased workforce by 30%. How does the size of itsworkforce at the end of 2001 compare with the size of theworkforce at the beginning of 1999?

Answer :

If x is the original amount of the startup workforce, then after 1999 they had:

[tex]x(1+0.30)=1.3x[/tex]

workforce, and after 2001 they had:

[tex](x+0.30x)\cdot(1-0.30)=1.3x(0.7)=0.91x\text{.}[/tex]

Therefore, the final amount of workforce is less than the one in 2001.

Answer: The workforce was reduced by 9%.

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