A shopkeeper give 1 article free of every purchase of 15 article and also gives a discount of 4 % and after all that his profit percent is 35%. Find CP:MP.
Let the mark price of one article =MP=10 x
The shopkeeper sells a total of 16 articles.
The mark price of 16 articles =160 x
Given:
The shopkeeper gives 1 article free on the purchase of 15 articles.
The selling price of 16 articles = The mark price of 15 articles =150 x
Now, a further discount of 4% is given,
The final selling price of 16 articles =150 x [(100-4) / 100]=144 x
The shopkeeper earns a profit of 35 \%
The cost price of 16 article =144 x [100 /(100+35)]=320 x / 3
The cost price of 1 article =CP=320 x / 48=20 x / 3
So