Profit : Loss : Cost Price : Selling Price :: Formulla


Labh & Hani (Profit & Loss) āϞāĻžāĻ­ āφ⧰⧁ āĻ•ā§āώāϤāĻŋ – āϏāĻ‚āĻ•ā§āώāĻŋāĻĒā§āϤ āύ⧋āϟ

Profit (āϞāĻžāĻ­)::- Profit = Selling Price (SP) − Cost Price (CP) :: āϞāĻžāĻ­ = āĻŦāĻŋāĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ (SP) − āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ (CP)

Loss (āĻ•ā§āώāϤāĻŋ) :: Cost Price (CP) − Selling Price (SP) :: āĻ•ā§āώāϤāĻŋ = āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ (CP) − āĻŦāĻŋāĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ (SP)

Profit Percentage (āϞāĻžāĻ­ %) : Profit % = (Profit × 100) / CP :: āϞāĻžāĻ­ % = (āϞāĻžāĻ­ × 100) / āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ

Loss Percentage (āĻ•ā§āώāϤāĻŋ %) :: Loss % = (Loss × 100) / CP :: āĻ•ā§āώāϤāĻŋ % = (āĻ•ā§āώāϤāĻŋ × 100) / āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ

Selling Price when Profit (āϞāĻžāĻ­āϤ āĻŦāĻŋāĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ) :: SP = CP × (100 + Profit%) / 100 :: SP = CP × (100 + āϞāĻžāĻ­ %) / 100

Selling Price when Loss (āĻ•ā§āώāϤāĻŋāϤ āĻŦāĻŋāĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ) :: SP = CP × (100 − Loss%) / 100 :: SP = CP × (100 − āĻ•ā§āώāϤāĻŋ %) / 100

Discount / Batta (āĻŦāĻŸā§āϟāĻž / āĻ›āĻžāĻĄāĻŧ) :: Discount = Marked Price − Selling Price :: āĻŦāĻŸā§āϟāĻž = āĻ…āĻ™ā§āĻ•āĻŋāϤ āĻŽā§‚āĻ˛ā§āϝ − āĻŦāĻŋāĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ

Discount Percentage (āĻŦāĻŸā§āϟāĻž %) :: Discount % = (Discount × 100) / Marked Price :: āĻŦāĻŸā§āϟāĻž % = (āĻŦāĻŸā§āϟāĻž × 100) / āĻ…āĻ™ā§āĻ•āĻŋāϤ āĻŽā§‚āĻ˛ā§āϝ


Q: 630 āϟāĻžāĻ•āĻž āĻŦāĻŋāĻ•ā§ā§°ā§€ āĻŽā§‚āĻ˛ā§āϝ āφ⧰⧁ 12.5% āϞāĻžāĻ­āϤ āϕ⧋āύ⧋ āϏāĻžāĻŽāĻ—ā§ā§°ā§€ā§° āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ āĻ•āĻŋāĻŽāĻžāύ ? Find the Cost Price of an item sold for ₹630 at 12.5% profit.

Soln

  1. Profit = 12.5% āϞāĻžāĻ­ = 12.5%
  2. Ratio → CP : SP = 100 : 112.5 āĻ…āύ⧁āĻĒāĻžāϤ → CP : SP = 100 : 112.5
  3. If 112.5 units = 630 āϝāĻĻāĻŋ 112.5 āĻāĻ•āĻ• = 630 āϟāĻžāĻ•āĻž
  4. 1 unit = 630 Ãˇ 112.5 = 5.6 1 āĻāĻ•āĻ• = 630 Ãˇ 112.5 = 5.6
  5. CP (100 units) = 100 × 5.6 = ₹560 CP (100 āĻāĻ•āĻ•) = 100 × 5.6 = ₹560

Ans / āωāĻ¤ā§āϤ⧰ : Cost Price (CP) = ₹560, āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ = ₹560