A trader gains 25% by selling an article at a discount 35% on its marked price.if the cost price of the article increases by 28%.What discount percent should he now give on the same marked price to get same profit percentage as before?
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Let the marked price be Rs100
Then, Selling Price after 25 % discount =Rs75
Given, Profit % =
C.P.
S.P−C.P.
×100=25 %
=>
C.P.
75−C.P.
×100=25
=>75−C.P.=0.25C.P.
=>1.25C.P.=75
C.P.=Rs60
And if Selling Price =Rs100 (that is at marked price discount ),
then, Profit % =
C.P.
S.P−C.P.
×100=
60
100−60
×100=
60
40
×100=66 2/3%
%
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