Discount - Formula Sheet

šŸ·ļø Discount - Formula Sheet

šŸŽÆ Basic Formulas

Discount Amount

Discount = Marked Price Ɨ Discount Rate / 100

Selling Price

SP = Marked Price - Discount
SP = MP Ɨ (100 - Discount%)/100

Marked Price

MP = SP / (100 - Discount%) Ɨ 100

šŸ“Š Successive Discounts

Two Successive Discounts

Effective Discount = d₁ + dā‚‚ - (d₁ Ɨ dā‚‚)/100

Three Successive Discounts

Effective Discount = d₁ + dā‚‚ + dā‚ƒ - (d₁×dā‚‚ + dā‚‚Ć—dā‚ƒ + d₁×dā‚ƒ)/100 + (d₁×dā‚‚Ć—dā‚ƒ)/10000

šŸ”¢ Profit/Loss with Discount

Cost Price and Discount

CP = MP Ɨ (100 - d) Ɨ (100 + p) / 10000

Where:

  • d = discount percentage
  • p = profit percentage

Loss and Discount

CP = MP Ɨ (100 - d) Ɨ (100 - l) / 10000

Where l = loss percentage

⚔ Quick Calculations

Discount Equivalents

10% discount = 1/10 of MP
20% discount = 1/5 of MP
25% discount = 1/4 of MP
50% discount = 1/2 of MP

Shopkeeper’s Profit

Shopkeeper's Profit = Discount Amount - Actual Discount

šŸ“ Memory Tips

  1. Discount is always calculated on Marked Price
  2. Successive discounts: multiply the factors
  3. Effective discount < sum of individual discounts
  4. Check if question asks for CP, SP, or MP

Master Discount - Always calculate on Marked Price! šŸ·ļø