Profit, Loss & Discount

Master this topic with zero to advance depth.

Sniper Mode: Baniya Logic

1. Terms

  • CP (Cost Price): 100% usually.
  • SP (Selling Price): CP + Profit or CP - Loss.
  • MP (Marked Price): Label price.
  • Discount: Always on MP. SP = MP - Discount.
  • Profit/Loss %: Always on CP (unless specified).

2. Key Relationships

  • Relation between CP and MP:
    • CP / MP = (100 - Discount%) / (100 + Profit%).
    • GOLDEN FORMULA for "Profit even after discount" problems.

3. Problem Types

  • Buy X for Y:
    • Buy 5 lemons for Rs 2, Sell 3 lemons for Rs 4.
    • Trick: Cross Multiply. CP of 15 (LCM) lemons = 6. SP of 15 = 20. Profit = 14 on 6.
  • False Weight (Dishonest Shopkeeper):
    • Uses 900g instead of 1kg.
    • Profit % = (Error / True Value - Error) * 100.
    • Logic: He is selling 900g money but charging for 1000g. Profit 100g on 900g cost.
  • Successive Discount:
    • Two discounts x% and y% = x + y - (xy/100).
    • Buy 2 Get 1 Free: Discount = Free / Total = 1/3 = 33.33%.