Question

A shopkeeper sold 3 article for rs 1920 each. he sells the first article at 10% loss and 2nd article at 20% profit. during the whole transaction there is no profit no loss .find at what% profit or loss he sold the 3rd article​

Answer 1

Answer:

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 %