Question

what is the maximum percentage discount (approximately) that a merchant can offer on his marked price so that he end up selling at no profit or loss if he initially marked his goods up by40%?​

Answer 1

Let cost price = Rs.100

and marked price = 100 + 40 = Rs.140

Let required discount be x%.

According to the question,

140×(100−x100)=100

(100−x)=100×100140

Therefore, x = 100−100×100140=40×100140

= 28.5% (approx)