Question

A shop keeper sells an article at aloss of 4% . If he had charged $ 8. .He would have gained 5% . find the cost price of the article

Answer 1

let cost price is 100 %
if loss of 4% it means he sold on 96% value.
if he had charged $8 , he would have gained 5% it means his gain value will be 105%
variation between 96% and 105% is due to $8
so 105% - 96% = $8 then 9% = $8
if 9% = 8 then 100% = (8/9)×100 = 88.88
so cost price ( 100%) = $88.88

Answer 2

A shopkeeper sells an article at a loss of 4% and if he had the charge of gaining 5%