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HomeSSC GDSsc Gd MathB4. Profit & Loss (लाभ-हानि)
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B • Maths

B4. Profit & Loss (लाभ-हानि)

CP/SP/MP • Discount • Successive discount

Chapter Overview (English + हिंदी)

Profit & Loss is direct scoring. Keep formulas of profit%, loss%, discount% and successive discount.

लाभ-हानि scoring chapter है। CP, SP, MP और discount के basic formulas clear रखो।

Professor Tip: पहले formula याद, फिर 5 सवाल speed से, फिर 1-2 सवाल deep समझ से.

Important Formulas / महत्वपूर्ण सूत्र

Profit = SP − CP ; Profit% = (Profit/CP)×100
Loss = CP − SP ; Loss% = (Loss/CP)×100
Discount = MP − SP ; Discount% = (Discount/MP)×100
Successive discounts a% and b% ⇒ single discount = a + b − (a×b)/100

Quick Tricks / त्वरित ट्रिक्स

  • Profit% हमेशा CP पर होता है.
  • Discount% हमेशा MP पर होता है.
  • Successive discount: a+b−ab/100.

Practice MCQs (6) – Answer Hidden by Default

Click “Show Answer” for each question. (SSC GD level)

Q1. CP=500, SP=600. Profit% =
CP=500, SP=600. लाभ% =
Answer: B (20%)
Explanation: Profit=100 ⇒ 100/500×100=20%.
Trick: Profit% = Δ/CP.
Q2. CP=800, loss 10%. SP=?
CP=800, 10% हानि। SP=?
Answer: B (720)
Explanation: SP=800×0.9=720.
Trick: Loss p% ⇒ ×(1−p/100).
Q3. MP=1000, discount 20%. SP=?
MP=1000, 20% छूट। SP=?
Answer: A (800)
Explanation: SP=1000×0.8=800.
Trick: Discount ⇒ ×(1−p/100).
Q4. Discounts 10% and 20% ⇒ single discount =
10% व 20% छूट ⇒ एकल छूट =
Answer: B (28%)
Explanation: 10+20−(10×20)/100=30−2=28%.
Trick: a+b−ab/100
Q5. SP=660 at 10% profit. CP=?
10% लाभ पर SP=660, CP=?
Answer: A (600)
Explanation: SP=1.1×CP ⇒ CP=660/1.1=600.
Trick: Divide by (1+p).
Q6. Profit 75 on CP 500. Profit%=?
CP=500 पर लाभ 75. लाभ%=?
Answer: C (15%)
Explanation: 75/500×100=15%.
Trick: 75/500=3/20=15%.
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