Question

A dealer is selling an article marked Rs.2000 at a discount of 20%. Find the selling price and the cost price of if he makes a profit of 25%.

Answer 1

Given, M.P. of an article = Rs.2000
Discount = 20%
`"S.P."/"M.P." = 1 - "discount"/(100)`

⇒ `"S.P."/(2000) = 1 - (20)/(100)`

⇒ S.P. = `(80)/(100)` x Rs.2000
= Rs.1600
∴ Selling price of the article = Rs.1600
Now, gain = 25%
`"S.P."/"C.P." = 1 + "gain"/(100)`

⇒ `(1600)/"C.P." = 1 + (25)/(100)`

⇒ C.P. = `1600 xx (100)/(125)`
= Rs.1280.