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Profit & Loss

· Formula

🧮 Formula Reference Sheet

Profit      = SP − CP         (when SP > CP)
Loss        = CP − SP         (when CP > SP)
Profit%     = (Profit ÷ CP) × 100
Loss%       = (Loss ÷ CP) × 100
SP          = CP × (100 ± P%) ÷ 100
Equiv. disc = a + b − (a×b)/100  [successive]

⚡ Example per formula

Profit = SP − CP (when SP > CP)

CP=200, SP=250 → Profit = ₹50

Loss = CP − SP (when CP > SP)

CP=500, SP=400 → Loss = ₹100

Profit% = (Profit ÷ CP) × 100

(50/200) × 100 = 25%

Loss% = (Loss ÷ CP) × 100

(100/500) × 100 = 20%

SP = CP × (100 ± P%) ÷ 100

CP=500, +20% → SP = 500 × 1.2 = ₹600

Equiv. disc = a + b − (a×b)/100 [successive]

20% + 10% = 30 − 2 = 28% equivalent

✏️ Worked Example

Cost price of an article is ₹500 and selling price is ₹650. Find the profit %.

👁 Show step-by-step solution
Profit = 650 − 500 = ₹150
Profit% = (150 / 500) × 100 = 30%

✅ Answer: 30%
✏️

Practice Exercises →

5 graded problems · AI checks each step