Profit and Loss - Complete Guide for SSC

Prerequisites

Before studying this topic, make sure you understand:

Profit and Loss Basics

Key Terms

  • Cost Price (CP): Price at which article is bought
  • Selling Price (SP): Price at which article is sold
  • Profit: SP > CP → Profit = SP - CP
  • Loss: CP > SP → Loss = CP - SP

Important Formulas

Profit% = (Profit/CP) × 100
Loss% = (Loss/CP) × 100

SP = CP + Profit = CP(100+Profit%)/100
SP = CP - Loss = CP(100-Loss%)/100

CP = (SP × 100)/(100 + Profit%)
CP = (SP × 100)/(100 - Loss%)

Discount Formulas

Discount = Marked Price - Selling Price
Discount% = (Discount/MP) × 100

SP = MP - Discount = MP(100-Discount%)/100

Solved Examples

Question: CP = ₹500, sold at 20% profit. Find SP.

Solution:

SP = CP(100+Profit%)/100
   = 500(100+20)/100
   = 500 × 120/100 = ₹600

Answer: ₹600