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Chapter 8: Profit, Loss and Discount

1. Fundamental Concepts of Profit and Loss

  • Profit (Gain): Realized when the Selling Price (S.P.) of an item is higher than its Cost Price (C.P.).
  • Loss: Realized when the Selling Price (S.P.) is lower than the Cost Price (C.P.).
  • Crucial Rule: Both Profit percentage and Loss percentage are always calculated on the Cost Price (C.P.).
• Profit = S.P. - C.P.
• Loss = C.P. - S.P.
• Profit % = (Profit / C.P.) × 100
• Loss % = (Loss / C.P.) × 100

2. Overhead Expenses

  • Definition: Extra costs incurred after the purchase of an item, such as transportation, labor, repairs, or packing.
  • Total Cost Price: To find the actual profit or loss, these overheads must be added to the original purchase price to determine the Total Cost Price.

3. Mathematical Relations (S.P. and C.P.)

  • If C.P. and Gain/Loss % are known, S.P. can be calculated directly using specific formulas.
  • If S.P. and Gain/Loss % are known, C.P. can be derived by reversing the percentage calculation.
• S.P. = [(100 + Gain%) / 100] × C.P.
• S.P. = [(100 - Loss%) / 100] × C.P.
• C.P. = [100 / (100 + Gain%)] × S.P.
• C.P. = [100 / (100 - Loss%)] × S.P.

4. Discount and Marked Price

  • Marked Price (M.P.): Also known as the list price or printed price; it is the price displayed on the item before any reduction.
  • Discount: A reduction offered on the Marked Price to encourage sales or dispose of old stock.
  • Basis of Calculation: Unlike profit/loss, Discount is always calculated on the Marked Price (M.P.).
  • Successive Discounts: When two or more discounts are applied sequentially, the first is applied to the M.P., and the second is applied to the reduced price. These can be converted into a single equivalent discount.

5. Taxation and GST

  • Sales Tax: A tax levied by the government on the sale of goods to fund public services like roads and hospitals. It is calculated on the sale price.
  • Goods and Services Tax (GST): Introduced in India on July 1, 2017, to replace multiple indirect taxes under the principle of "one nation and one tax."
  • GST Components:
    CGST (Central GST) Levied on intra-state transactions; goes to the Central Government.
    SGST (State GST) Levied on intra-state transactions; goes to the State Government.
    IGST (Integrated GST) Levied on inter-state transactions (between different states).
  • Current GST Rates: The standard applicable rates are 0%, 5%, 12%, 18%, and 28%.
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