Math  /  Algebra

Question12. A number is decreased by 50%50 \%, and the resulting number is then increased by 300%300 \%. The original number is what percentage of the final number? F. 20%20 \% G. 25%25 \% H. 40%40 \% J. 50%50 \% K. 400%400 \% Entrance Tickot

Studdy Solution
Determine the percentage of the original number relative to the final number.
The original number x x is what percentage of the final number 2x 2x ?
Percentage=(x2x)×100%=12×100%=50% \text{Percentage} = \left( \frac{x}{2x} \right) \times 100\% = \frac{1}{2} \times 100\% = 50\%
The original number is:
50% \boxed{50\%}

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