Question 406656
Assuming it was reduced by 20% to 80% of its original price; and then this price was reduced by 20% to 80% of this price (not a further 20% of the original price bringing it to 60% of the original price), we would have 80% of 80% = 64%


So, if it now costs $180 less than the original price, the reduction is 1 - 64% = 36%


Therefore 36% of the total price is $180.


Since 36% is 9/25, the original cost is $180 times 25/9 = $500.


Let us check:


Original price $500


20% reduction is $100 bringing it to $400


A further 20% reduction is £80 bringing it to $320


The difference in the price id $500 - $320 = $180


Correct!