Profit & Loss

Profit & Loss Notes for SSC CGL

Profit and Loss is one of the most important topics in SSC CGL, CHSL, MTS, CPO, GD and Railway exams. Questions are frequently asked on Profit %, Loss %, Discount, Marked Price and Successive Discounts.

1. Basic Definitions

  • Cost Price (CP): Price at which an article is purchased.
  • Selling Price (SP): Price at which an article is sold.
  • Marked Price (MP): Price printed on the article.
  • Discount: Reduction given on marked price.

2. Profit and Loss Formula

Profit = SP − CP

Loss = CP − SP

Profit % = (Profit ÷ CP) × 100

Loss % = (Loss ÷ CP) × 100

3. Solved Example - Profit

Question:

A shopkeeper buys a pen for ₹80 and sells it for ₹100. Find profit percentage.

Profit = 100 − 80 = ₹20

Profit % = (20 ÷ 80) × 100

Profit % = 25%

Answer = 25% Profit

4. Solved Example - Loss

Question:

A watch is bought for ₹500 and sold for ₹450. Find loss percentage.

Loss = 500 − 450 = ₹50

Loss % = (50 ÷ 500) × 100

Loss % = 10%

Answer = 10% Loss

5. Finding Selling Price

SP = CP × (100 + Profit %) / 100

SP = CP × (100 − Loss %) / 100

6. Finding Cost Price

CP = SP × 100 / (100 + Profit %)

CP = SP × 100 / (100 − Loss %)

7. Discount Formula

Discount = MP − SP

Discount % = (Discount ÷ MP) × 100

8. Solved Example - Discount

Marked Price = ₹1000

Selling Price = ₹850

Discount = 1000 − 850 = ₹150

Discount % = (150 ÷ 1000) × 100

Discount % = 15%

Answer = 15% Discount

9. SSC Important Tricks

  • Profit is always calculated on Cost Price.
  • Loss is always calculated on Cost Price.
  • 20% profit means SP = 120% of CP.
  • 20% loss means SP = 80% of CP.
  • Successive discounts are not added directly.
  • 25% profit means ratio SP : CP = 5 : 4.
  • 20% loss means ratio SP : CP = 4 : 5.

10. SSC Previous Year Questions

Question 1

A trader sells an item at 20% profit. If CP is ₹500, find SP.

SP = 500 × 120 / 100

SP = ₹600

Answer = ₹600

Question 2

A shopkeeper sells an item for ₹720 at 10% loss. Find Cost Price.

CP = 720 × 100 / 90

CP = ₹800

Answer = ₹800

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