A vendor buys a certain number of pens. If the selling price of 5 pens is equal to the cost price of 7 pens, find his profit or loss percentage.
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Consider Rs. x as the C.P. of 7 pens
C.P. of 1 pen =Rs.x/7
Based on the question
S.P. of 5 pens =Rs.x
S.P. of 1 pen =Rs.x/5
Profit=S.P.–C.P.
Substituting the values
=x/7–x/5
Taking LCM
=(7x–5x)/35
=Rs.2x/35
We know that
Profit%=Profit/C.P.×100%
Substituting the values
=
x/7
2x/35
×100 %
It can be written as
=2x/35×7/x×100 %
By further calculation
=2/5×100 %
So we get
=2×20 %
=40 %
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