Cost Price:
The price, at which an item is purchased, is called its cost price, abbreviated as C.P.
Loss% or Gain% is always based on C.P.
Selling Price:
The price, at which an item is sold, is called its selling price, abbreviated as S.P.
Profit or Gain:
If S.P. is greater than C.P., the seller is said to have a profit or gain.
Gain = (S.P.) - (C.P.)
Gain % = Gain * 100 /C.P.
If an item is sold at a gain of say 30%,then S.P. = (100 + 30)% of C.P = 130% of C.P.
Loss:
If S.P. is less than C.P., the seller is said to have incurred a loss.
Loss = (C.P.) - (S.P.)
Loss % = Loss * 100/C.P.
If an item is sold at a loss of say, 30%,then S.P. = (100 - 30)% of C. P = 70% of C.P.
Selling Price: (S.P):
SP = (100 + Gain %) x C.P/100
SP = (100 - Loss %) x C.P./100
Cost Price: (C.P.):
C.P. = 100 * S.P./(100 + Gain %)
C.P. = 100 * S.P./(100 - Loss %)
Absolute Profit or Loss:
When a person sells two similar items for a cost X, one at a gain of say x%, and the other at a loss of y%,then the seller always incurs a loss given by:
Loss % = (x * y)/100 %
Absolute value in loss = [(2*x*y*X) / (100*100 - x*y)]
If cost of 2 similar items is P, one is sold at a gain of say x%, and the other at a loss of x%,
then the seller
doesn't incur any profit or loss.
If a trader sells his goods at C.P, but uses false weights, then his
Gain % = (Error * 100 /(True Value - Error)) %
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