Answer:
[tex]\Huge \boxed{\£55}[/tex]
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A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.
[tex]\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}[/tex]
To work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.
×0.83
Original Price →→→→→→→→→→→→→ Sale Price
£? ←←←←←←←←←←←←← £45.65
÷0.83
[tex]\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}[/tex]
Therefore, the original price of the dress is £55.
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