Let
Cost Price=cp
Selling price=sp
Case-I
If we sell one thing on x% gain then
sp1=[(100+x)*cp]/100
and now the purchaser of this thing sells it on x% loss
then sp2=[(100+x)*cp]/100-[(100+x)*cp*x]/(100*100 )
where [(100+x)*cp*x]/(100*100 )=x% of sp1(i.e loss)
or sp2=[{(100+x)*cp}/100][1-x/100]
now net loss or gain=cp-sp2= -(x*x*cp)/(100*100)
(-)ve sign tells that we incur loss
so net loss %=[(cp-sp2)*100]/cp= (x*x)/( 10*10)
Case-II
If we sell one thing on x% loss and then
purchaser of this thing sells it on x% gain
then from same process of Case-I
Example:
If actual cost of a thing is cp.and we purchase it from seller by giving him x% loss.Then selling price for that seller is sp and this sp is cp for us.now we sell it on gain of x% of this cp.Then we incur gain but the thing always incurs loss of (x*x)/(10*10)
Reverse
If actual cost of a thing is cp.and we purchase it from seller by giving him x% gain.Then selling price for that seller is sp and this sp is cp for us.now we sell it on loss of x% of this cp.Then we incur loss but the thing also always incurs loss of (x*x)/(10*10)
Cost Price=cp
Selling price=sp
Case-I
If we sell one thing on x% gain then
sp1=[(100+x)*cp]/100
and now the purchaser of this thing sells it on x% loss
then sp2=[(100+x)*cp]/100-[(100+x)*cp*x]/(100*100 )
where [(100+x)*cp*x]/(100*100 )=x% of sp1(i.e loss)
or sp2=[{(100+x)*cp}/100][1-x/100]
now net loss or gain=cp-sp2= -(x*x*cp)/(100*100)
(-)ve sign tells that we incur loss
so net loss %=[(cp-sp2)*100]/cp= (x*x)/( 10*10)
If we sell one thing on x% loss and then
purchaser of this thing sells it on x% gain
then from same process of Case-I
net loss % =(x*x) / 10*10
Example:
If actual cost of a thing is cp.and we purchase it from seller by giving him x% loss.Then selling price for that seller is sp and this sp is cp for us.now we sell it on gain of x% of this cp.Then we incur gain but the thing always incurs loss of (x*x)/(10*10)
Reverse
If actual cost of a thing is cp.and we purchase it from seller by giving him x% gain.Then selling price for that seller is sp and this sp is cp for us.now we sell it on loss of x% of this cp.Then we incur loss but the thing also always incurs loss of (x*x)/(10*10)
