### 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 = SP - CP
2. Loss = CP - SP
3. Profit Percentage (Profit %) =
CP
Profit
* 100 =
CP
(SP - CP)
* 100

4. Loss Percentage (Loss %) =
CP
Loss
* 100 =
CP
(CP - SP)
* 100

5. In the case of a gain or profit,
SP =
100
(100+Gain%)
* CP

CP =
(100+ Gain %)
100
* SP

6. In the case of a loss,
SP =
100
(100 - Loss%)
* CP

CP =
(100 - Loss %)
100
* SP

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
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]%
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