Chapter 10 – Profit and Loss | Class 9 Flash Formula

Learn the Class 9 Madhyamik Mathematics Profit and Loss Formulas with simple explanations and solved examples. This page covers Profit, Loss, Profit Percentage, Loss Percentage, Selling Price (SP), and Cost Price (CP) formulas for quick understanding, revision, and exam preparation.

Profit Formula

Profit (P) = Selling Price (SP) − Cost Price (CP)

Example: Selling Price = ₹850 Cost Price = ₹700 Profit = 850 − 700 = ₹150

Profit Percentage Formula

Profit % = $\text{Profit} \over \text{Cost Price}$ × 100

Example : Profit = ₹150 Cost Price = ₹750 Profit % = (150/750) × 100 = 20%

Loss Formula

Loss (L) = Cost Price (CP) − Selling Price (SP)

Example : Cost Price = ₹850 Selling Price = ₹700 Loss = 850 − 700 = ₹150

Loss Percentage Formula

Loss % = $\text{Loss (L)} \over \text{Cost Price (CP)}$ × 100

Example : Loss = ₹120 Cost Price = ₹600 Loss % = (120/600) × 100 = 20%

Selling Price Formula

(i) Selling Price (SP) = $\frac{100+\mathrm{Profit}\%}{100}$ × Cost Price (CP)

(ii) Selling Price (SP) = $\frac{100-\mathrm{Loss}\%}{100}$ × Cost Price (CP)

(iii) Selling Price (SP) = $\frac{100-\text{Discount \%}}{100}$ × Marked Price (MP)

Example : Cost Price = ₹500 Profit = 20% SP = (100 + 20)/100 × 500 = (120/100) × 500 = 120 × 5 = ₹ 600

Cost Price Formula

(i) Cost Price (CP) = $\frac{100}{100+\text{Profit \%}}$ × Selling Price (SP)

(ii) Cost Price (CP) = $\frac{100}{100-\text{Loss \%}}$ × Selling Price (SP)

Example : Selling Price = ₹720 Profit = 20% CP = (100/100 + 20) × 720 = (100/120) × 720 = 72000/120 = ₹ 600

Discount Formula

Discount = Marked Price (MP) − Selling Price (SP)

Example : Marked Price = ₹1200 Selling Price = ₹1020 Discount = 1200 − 1020 = ₹180

Discount Percentage

Discount % = $\text{Discount} \over \text{Marked Price}$ × 100

Example : Discount = ₹180 Marked Price = ₹1200 Discount % = (180/1200) × 100 = 15%

Marked Price Formula

Marked Price (MP) = $\frac{100}{100-\text{Discount \%}}$ × Selling Price (SP)

Example : Selling Price = ₹1200 Discount = 20% MP = (100/100 - 80) × 1200 = (100/80) × 1200 = 120000/80 = ₹1500

You have reached the end.