### Profit and Loss

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__Profit and Loss__

Cost Price

The rate at which a merchant buys goods. This is his investment

Selling Price

The rate at which a marchant sells his goods.

Marked Price

The rate at which a merchant rises his price above the cost price (may be acticipating some hagglers)

**In profit case**

CP + CP * (Profit%) = SP

CP * (100+Profit)% = SP

**In loss case**

CP - CP * Loss%=SP

CP * (100 - Loss)% = SP

**Calculating Selling Price from Marked Price:**

MP - MP * discount% = SP

MP * (100 - discount)% = SP

Formulae

1. Gain or Profit =

2. Loss =

3. Profit Percentage (Profit %) =

4. Loss Percentage (Loss %) =

5. In the case of a gain or profit,

6. In the case of a loss,

7. If an article is sold at a gain of 20%, then SP = 120% of CP

8. If an article is sold at a loss of 20% then SP = 80% of CP

9. If an article is sold at a loss of 20% then SP = 80% of CP

10. If a person sells two items at the same price; one at a gain of x % and another at a loss of x %, then the seller always incurs a loss expressed as

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

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**SP - CP**2. Loss =

**CP - SP**3. Profit Percentage (Profit %) =

CP

Profit

* 100 = CP

(SP - CP)

* 1004. Loss Percentage (Loss %) =

CP

Loss

* 100 = CP

(CP - SP)

* 1005. In the case of a gain or profit,

SP =

100

(100+Gain%)

* CPCP =

(100+ Gain %)

100

* SP6. In the case of a loss,

SP =

100

(100 - Loss%)

* CPCP =

(100 - Loss %)

100

* SP7. If an article is sold at a gain of 20%, then SP = 120% of CP

8. If an article is sold at a loss of 20% then SP = 80% of CP

9. If an article is sold at a loss of 20% then SP = 80% of CP

10. If a person sells two items at the same price; one at a gain of x % and another at a loss of x %, then the seller always incurs a loss expressed as

Loss % = ( Common Loss and Gain % / 10)

^{2}=(x/10)^{2}11. If a trader professes to sell his goods at cost price, but uses false weights, then

Gain% = [ Error / ( True Value - Error ) * 100]%