By selling an article for₹2500,a man gains 20%.find his percentage of profit if he sold it for ₹2750
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Step-by-step explanation:
For the first article,
SP=RsS
Given, Profit=25 %
=>
CP
SP−CP
×100=25
=>
CP1
S−CP1
×100=25
=>S−CP1=0.25CP1
=>1.25CP1=S
=>CP1=
1.25
S
=
5
4S
For the second article,
SP=S
Given, Loss=25 %
=>
CP
CP−SP
×100=25
=>
CP2
CP2−S
×100=25
=>CP2−S=0.25CP2
=>0.75CP2=S
=>CP2=
0.75
S
=
3
4S
So, Total SP of the two articles =RsS+RsS=Rs2S
Total CP the two articles =Rs
5
4S
+Rs
3
4S
=Rs
15
32S
=2.133S
As total CP> SP, there is a loss
So, Loss % =
CP
CP−SP
×100=
Rs
15
32S
Rs
15
32S
−2S
×100=6.25 %
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