A shopkeeper selling an article at a discount of 25 % loses rs.125 .If he allows 10% discount he gains rs.250
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Answer:
Step-by-step explanation:
discount=25%
SP=MP*(100-discount%)/100
=x*(100-25)/100
=x*75/100
=3x/4
loss=125
so CP=SP+loss=3x/4+125
now the 2nd case comes...
discount=10%
so SP=90/100*x
=9x/10
gain=250
CP=SP-gain
=9x/10-250
so CP should remain same i.e
3x/4+125=9x/10-250
125+250=9x/10-3x/4
375=(18x-15x)/20
375=3x/20
x=375*20/3
=2500
so MP=rs 2500
CP=3x/4+125
=3*2500/4+125
=1875+125
=rs 2000
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