Question

A man marks his goods at a price that would give him a profit of 20%.He sells 3/5 of the good at the marked price and sells remaining at 20% discount.Find his gain percent on the whole transaction.

Answer 1

let the CP of the articles be 100 
MP of the articles=100+20% of 100=120 
total cpf x articles =100x 
Let No,of artiles be x 
SP of 3/5 of x=120 
total SP of 3/5th articles=120*3/5*x=72x 
SP of remaining articles: 
Remaining aricles=1-3/5=2/5 
SP of 2/5 of x= MP-20% of MP 
=120-20%*120 
=96 
total SP of 2/5 articles=96*2/5*x 
=38.4x 
NetSP=72x+38.4=110.4x 
profit=SP-CP=110.4x-100x 
=10.4x 
profit%=p/cp*100=(10.4/100)*100=10.4%