# Profit and Lose Problems

## Profit and Lose Tips and Tricks

If the selling price of a product is more than the cost price, there will be profit in the deal. If the selling price of a product is less than the cost price, the seller will incur a loss

**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 Profit and Lose Formula

- Gain = (S.P.) - (C.P.)
- Loss = (C.P.) - (S.P.)
- Loss or gain is always reckoned on C.P.
- Gain Percentage: (Gain %)= Gain x 100/C.P
- Loss Percentage: (Loss %) = Loss x 100/C.P
- If an article is sold at a gain of say 35%, then S.P. = 135% of C.P.
- If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
- When a person sells two similar items, one at a gain of say x% and the other at a loss of say x%. then the seller always incurs a loss given by:
Loss% = (x/10) ^{2} - If a seller sells his goods at cost price but uses false weights, then

Gain% = [Error/(True value - Error) * 100]% - S.P = (100+ Gain %) /100 * (C.P)
- S.P = (100-Loss %) / 100 * (C.P)
- C.P = 100 / (100 + Gain %)* (S.P)
- C.P = 100 / (100-Loss %)* (S.P)

**Rule: ** If a grocer sells its goods at cost price, but uses a false weigt instead of true weight. Then Gain percentage will be

## Formula

**Rule: **If a shopkeeper sells his goods at x % loss on cost price but uses y gm instead of z gm, then his % profit is

## Formula

**Rule: ** If a shopkeeper sells his goods at x % gain on cost price but uses y gm instead of z gm, then his % lose is

## Formula

**Rule: **If a businessman marks his goods at x % above his cost prie and allowed purchasers a discount of y % for cash, then % proft or % loss according to + ve or - ve sign is will be

## Formula

### Profit and Lose Tricks

- Profit = (S.P.) > (C.P.)
- Loss = (S.P.) < (C.P.)
- If profit earned by selling an article is 25 %, then S.P. = 125% of C.P
- If an article is sold at a loss of 30 %, then S.P. = 70 % of C.P.
- C.P. of X = S.P. of Y