Here are the Profit and Loss formulas from the provided content, organized into detailed tables with LaTeX equations.[indiabix]
💰 Fundamental Concepts
| 🏷️ Term | 📝 Definition |
|---|
| Cost Price (C.P.) | The price at which an article is purchased. |
| Selling Price (S.P.) | The price at which an article is sold. |
| Profit or Gain | Occurs if Selling Price (S.P.) is greater than Cost Price (C.P.). |
| Loss | Occurs if Selling Price (S.P.) is less than Cost Price (C.P.). |
| ⚖️ Calculation | 🔢 Formula | 📌 Note |
|---|
| Gain (Profit) | Gain=S.P.−C.P. | Applicable when S.P.>C.P. |
| Loss | Loss=C.P.−S.P. | Applicable when S.P.<C.P. |
| Gain Percentage | Gain %=(C.P.Gain×100) | Gain is always reckoned on C.P. |
| Loss Percentage | Loss %=(C.P.Loss×100) | Loss is always reckoned on C.P. |
| 💵 Target Value | 📉 Condition | 🔢 Formula |
|---|
| Selling Price (S.P.) | When there is a Gain | S.P.=(100100+Gain %)×C.P. |
| Selling Price (S.P.) | When there is a Loss | S.P.=(100100−Loss %)×C.P. |
| Cost Price (C.P.) | When there is a Gain | C.P.=(100+Gain %100)×S.P. |
| Cost Price (C.P.) | When there is a Loss | C.P.=(100−Loss %100)×S.P. |
🧩 Special Cases & Shortcuts
| 🚀 Scenario | 🔢 Formula | 💡 Explanation |
|---|
| Two Items Sold | Two items sold at same price: one at gain of x%, other at loss of x%. | Loss %=(10x)2 |
| False Weights | Trader sells at cost price but uses false weights. | Gain %=[True Value−ErrorError×100]% |
| Direct Percentage | Article sold at a gain of 35%. | S.P.=135% of C.P. |
| Direct Percentage | Article sold at a loss of 35%. | S.P.=65% of C.P. |
