A man sells an article at 5% egg of its cost price if he say if he had bought it at 5% less than what he paid for it and sold it at rupees 12 less he would have gained 10% find the cost price of the article.
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original Cost price of 1 article CP1=Rsx
Then Selling price of the article =SP1=
100
100+5
x=
100
105
x
=> If he had bought it for 5 % less, then CP2=
100
100−5
x=
100
95
x
And sold it for Rs2 less, then SP2=Rs
100
105
x−2
Given Profit % =
C.P.2
S.P.2−C.P.2
×100=10
=>
100
95
x
100
105
x−2−
100
95
x
×100=10
=>
95x
10x−200
×100=10
=>10x−200=9.5x
=>0.5x=200
x=x=400
Thus, C.P. 1 =Rs400
Hope it helps
Then Selling price of the article =SP1=
100
100+5
x=
100
105
x
=> If he had bought it for 5 % less, then CP2=
100
100−5
x=
100
95
x
And sold it for Rs2 less, then SP2=Rs
100
105
x−2
Given Profit % =
C.P.2
S.P.2−C.P.2
×100=10
=>
100
95
x
100
105
x−2−
100
95
x
×100=10
=>
95x
10x−200
×100=10
=>10x−200=9.5x
=>0.5x=200
x=x=400
Thus, C.P. 1 =Rs400
Hope it helps
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