# 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

1. Gain = (S.P.) - (C.P.)
2. Loss = (C.P.) - (S.P.)
3. Loss or gain is always reckoned on C.P.
4. Gain Percentage: (Gain %)
5. Loss Percentage: (Loss %)
6. Selling Price: (S.P.)
7. Selling Price: (S.P.)
8. Cost Price: (C.P.)
9. 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