# Solved Example

**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

- Gain = (S.P.) - (C.P.)
- Loss = (C.P.) - (S.P.)
- Loss or gain is always reckoned on C.P.
- Gain Percentage: (Gain %)
- Loss Percentage: (Loss %)
- Selling Price: (S.P.)
- Selling Price: (S.P.)
- Cost Price: (C.P.)
- Cost Price: (C.P.)

If an article is sold at a gain of say 35%, then S.P. = 135% of S.P.

If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.

**Same Gain-Loss %:**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:

**False Weight:**If a trader professes to sell his goods at cost price, but uses false weights, then

- If two succesive discount on an article are a%, b% respectively then net discount will be =
- If three succesive discount on an article are a%, b% and c% respectively then net discount will be =
- If an article is sold at a profit of a% had he sold for Rs a more, b% would be gain then
- If an article is sold in x Rs. At a% profit/loss. from that amount he again buy a things and then sell it at profit/loss of b% then Selling price is