+26367 Reduction
\(\begin{array}{|rcll|} \hline x\cdot (100\ \%-23\ \%) &=& £57.50 \\ x\cdot(77\ \%) &=& £57.50 \\ x&=&\dfrac{ £57.50 }{77\ \%} \\ x&=&\dfrac{ £57.50 }{\dfrac{77}{100}} \\ x&=&\dfrac{ £57.50\cdot 100 }{77} \\ x&=&\dfrac{ £5750}{77} \\ x&=& £74.6753246753 \\ \hline \end{array}\)
The normal price is \(\approx £74.68\)
I think heureka read the question incorrectly:
If the original item was reduced by 23% and "the amount of the reduction was 57.50 pounds", then the original price of the item should be:
P x 23% = 57.50 pounds
0.23P = 57.50 pounds
P = 57.50 / 0.23
P =250 - pounds - original price before 23% discount.
Check:
250 x 23% =57.50 pounds - the reduction amount.
250 - 57.50 =192.5 pounds - price at which it was sold after 23% discount.
