Study Notes on Discount Calculation

Mathematical Problem: Discount Calculation

Problem Statement

  • Question: A discount of 25% on a R80 item yields what sale price?

Given Data

  • Original Price (P): R80
  • Discount Rate (d): 25%

Formulation of Sale Price

  • Formula for Sale Price (SP):
    SP=P−(P×d100)SP = P - (P \times \frac{d}{100})

Application of Formula

  • Substituting the values into the formula:
    1. Calculate the discount amount:
    • Discount=P×d100Discount = P \times \frac{d}{100}
    • Discount=80×25100=80×0.25=20Discount = 80 \times \frac{25}{100} = 80 \times 0.25 = 20
    1. Calculate the sale price:
    • SP=P−DiscountSP = P - Discount
    • SP=80−20=60SP = 80 - 20 = 60

Result

  • Sale Price: R60

Conclusion

  • Thus, the sale price after applying a 25% discount on a R80 item results in R60.

Incorrect Options (for reference)

  • R105 (incorrect)
  • R45 (incorrect)
  • R55 (incorrect)

Verification

  • The calculation has been verified step by step to ensure accuracy.
  • The correct answer is R60.