### Profit, Loss, Discount

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DEFINITIONS:-

⇒ Cost price (C.P.):-The price at which an article is purchased, is called its cost price.

⇒ Selling price (S. P) :- The price at which an article is sold, is called its selling price.

⇒ Profit or Gain :- If S.P. > C.P. then the seller is said to have a Profit or Gain.

⇒ Loss :- If S.P. < C.P., then the seller is said to have incurred a loss.

⇒ Profit :- S.P. – C.P.

⇒ Loss :- C.P. – S.P.

FORMULAE:-

⇒ If an article is continuously sold with a profit or loss (r%), then

then final price paid by

⇒ When a 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 % =

⇒ If a trader professes to sell his goods at cost price, but uses false weights, then

Gain % =

⇒ If r1 % profit → at the time of purchased

r2 % profit → at the time of selling

% profit = r1 + r2 +

⇒ When the selling price of the two articles are equal, then

CP1 : CP2 = (100 ± r2) : (100 ± r1)

⇒ If 'a' articles are bought for Rs. 6 and 'c' articles are sold for Rs. d, then

a) % Profit =

⇒ If a articles are bought for Rs. 'b' and b articles are sold for Rs. 'a', then

% Profit =

⇒ Marked price  = (M.P.)

⇒ Selling price = (S.P.)

⇒ Discount = Marked price – selling price

⇒ % Discount =  × 100

⇒ When discount given two times, then

Unique discount = D1 + D2

⇒ If we sold an article at D% discount, then profit or loss is r%, then

⇒ When an article sold out at without any discount, then

% profit or loss =

⇒ If discount is given in the form of 'x' articles are given free then

% Discount =

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