DEBUG_INFO: title=Profit, Loss & Discount, type=object, isArray=, length=25
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%.