Arithmetic Aptitude :: Profit and Loss
Profit and Loss - Important Formulas
IMPORTANT FACTS
Cost Price:
The price, at which an article is purchased, is called its cost price, abbreviated as C.P.
Selling Price:
The price, at which an article is sold, is called its selling prices, 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.
Loss:
If S.P. is less than C.P., the seller is said to have incurred a loss.
IMPORTANT FORMULAE
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Gain = (S.P.) - (C.P.)
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Loss = (C.P.) - (S.P.)
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Loss or gain is always reckoned on C.P.
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Gain Percentage: (Gain %)
Gain %= Gain *100C.P -
Loss Percentage: (Loss %)
Loss % = Loss*100C.P -
Selling Price: (S.P.)
SP = (100+Gain%)100x C.P -
Selling Price: (S.P.)
SP = (100-Loss%)100 x C.P. -
Cost Price: (C.P.)
C.P. = 100 (100+Gain%)x S.P. -
Cost Price: (C.P.)
C.P. = 100 (100-Loss%)x S.P. -
If an article is sold at a gain of say 35%, then S.P. = 135% of C.P.
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If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
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When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by:
Loss % = common loss and gain%10
2 = X10
2 . -
If a trader professes to sell his goods at cost price, but uses false weights, then
Gain % = Error (true value )(ErRor) x 100 %.