💰 Profit and Loss - Formula Sheet

🎯 Basic Formulas

Profit

Profit = Selling Price - Cost Price
Profit % = (Profit / Cost Price) × 100
SP = CP × (100 + Profit%) / 100

Loss

Loss = Cost Price - Selling Price
Loss % = (Loss / Cost Price) × 100
SP = CP × (100 - Loss%) / 100

Cost Price

CP = SP × 100 / (100 + Profit%)
CP = SP × 100 / (100 - Loss%)

📊 Related Formulas

Marked Price

MP = CP × (100 + Gain%) / 100
Discount = MP - SP

Break Even

No Profit, No Loss: SP = CP

🔢 Special Cases

Equal Profit and Loss

If CP₁ = CP₂, and one has x% profit, other has x% loss
Overall = (x²/100)% loss

False Weight

Profit% = [(True Weight - False Weight) / False Weight] × 100

Successive Profit/Loss

Net% = a + b + (a × b) / 100
(+ for profit, - for loss)

⚡ Quick Calculations

Common Percentages

5% of CP = CP/20
10% of CP = CP/10
25% of CP = CP/4
50% of CP = CP/2

Mental Math Tricks

If SP is 115, CP is 100 → 15% profit
If SP is 85, CP is 100 → 15% loss

📝 Problem Types

Direct Problems

1. Given CP and SP → Find profit/loss %
2. Given CP and profit% → Find SP
3. Given SP and profit% → Find CP

Complex Problems

1. Marked price and discount
2. False weight problems
3. Successive transactions
4. Comparative statements

🔍 Important Notes

1. Profit/Loss % always calculated on CP
2. Discount always calculated on MP
3. Two successive profits ≠ sum of profits
4. Be careful with false weight problems

Master Profit & Loss - Always relate to Cost Price! 💰