# A trader gives 25% discount on his articles and still makes a profit of 25%. Find his profit percent, if he sells his articles at: (i) 10% discount (ii) their marked price

1
by rohincyril

2014-08-03T17:00:54+05:30

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Cost price = CP
Marked price = MP  This is the price marked on items. Discount is given on this price
Sale price after discount SP = MP * (100 - discount%)/100
Profit = SP - CP = MP*(100-discount%)/100  -   CP
Profit % = profit * 100 / CP  =  MP(100-discount%)/CP -  100

profit %=     25 = MP (100-25)/CP  - 100    =>  125 = MP 75 / CP
=>  MP = 5/3 CP
Formula for profit % = 5/3 *CP (100-discount%) / CP  - 100
=  5/3 (100 - discount%) - 100

1)  Discount = 10%  So  profit %  =  5/3 * (100 -10) - 100  = 50%
2 )  SP = MP =>  discount is zero%
profit % = 5/3 (100 - 0) - 100  = 66.66%