Aptitude - Profit and loss Theory

Profit and Loss: In-Depth Guide

1. Introduction

Profit and Loss are critical concepts in business and finance. They help us understand how changes in selling price, cost price, and discounts impact our earnings or losses. This guide covers fundamental and advanced aspects to help you master the topic.

2. Basic Formulas and Definitions

a. Key Definitions

  • Cost Price (CP): The price at which an item is purchased.
  • Selling Price (SP): The price at which an item is sold.
  • Profit: The positive difference between SP and CP when SP > CP.
  • Loss: The negative difference between CP and SP when CP > SP.

b. Basic Formulas

· Profit: Profit = SP - CP

· Loss: Loss = CP - SP

· Profit Percentage: Profit Percentage = (Profit / CP) * 100

· Loss Percentage: Loss Percentage = (Loss / CP) * 100

· Selling Price after Discount: SP = MP - Discount

· Discount Percentage: Discount Percentage = (Discount / MP) * 100

· Finding CP (Profit Percentage): CP = SP / (1 + Profit Percentage / 100)

· Finding CP (Loss Percentage): CP = SP / (1 - Loss Percentage / 100)

· Combined Discount: Combined Discount = x + y - (x * y / 100)