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

Question

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

monika · Accepted Answer

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%