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Quantitative Aptitude · Topic 10 of 36

Profit & Loss

  • 5 exercises
  • 205 questions
  • ~75 min
  • Answers explained

Cheat Sheets

Profit & Loss · Study material

Profit & Loss – Cheat Sheet

Profit and Loss is one of the most important and high-scoring topics in Quantitative Aptitude and is frequently asked in SSC, Banking, Railway, UPSC, Defence, Insurance, CAT, and other competitive examinations.

This cheat sheet helps candidates understand cost price and selling price concepts, profit and loss percentages, discounts, marked price calculations, false weight problems, and shortcut techniques for solving commercial arithmetic questions quickly and accurately in exams.


About This Cheat Sheet

Complete guide to Profit and Loss for competitive exams:

Basic Concepts

  • Cost Price (CP)
  • Selling Price (SP)
  • Profit & Loss
  • Basic Formula Applications

Profit & Loss Percentage

  • Profit Percentage Formula
  • Loss Percentage Formula
  • Finding CP or SP
  • Percentage Based Questions

Marked Price & Discount

  • Marked Price (MP)
  • Discount Formula
  • Successive Discounts
  • Net Discount Calculations

Multiple Article Problems

Profit and loss calculations involving equal cost price, equal selling price, and multiple items.

False Weight Problems

  • Dishonest Shopkeeper Problems
  • Weight Manipulation
  • Gain Percentage by False Weight
  • Combined Profit Tricks

Same SP / Same CP Problems

  • Same Selling Price Cases
  • Same Cost Price Cases
  • Overall Profit or Loss
  • Net Gain Calculations

Quantity Based Problems

  • Buying & Selling Different Quantities
  • Weight Based Profit
  • Quantity Manipulation
  • Ratio Based Commerce Problems

Shortcut Tricks

Fast calculation methods, percentage shortcuts, and exam-oriented commercial arithmetic tricks.


Topics Covered

Topic Description
Cost Price (CP) Price at which goods are purchased
Selling Price (SP) Price at which goods are sold
Profit Gain obtained when SP exceeds CP
Loss Loss incurred when CP exceeds SP
Profit Percentage Percentage gain calculated on CP
Loss Percentage Percentage loss calculated on CP
Marked Price List price before discount
Discount Reduction offered on marked price
Successive Discounts Net effect of multiple discounts
False Weight Problems Profit due to weight manipulation
Equal SP Problems Overall profit/loss when SP is same
Equal CP Problems Profit/loss comparison for same CP
Quantity Manipulation Profit using quantity variation methods
Shortcut Tricks Fast solving methods for exams

Why This Cheat Sheet is Important

Understand Commercial Concepts

↓

Improve Calculation Speed

↓

Apply Shortcut Techniques

↓

Solve Business Problems Faster

↓

Score Better in Exams


Competitive Exams Covered

  • SSC CGL
  • SSC CHSL
  • Bank PO & Clerk
  • Railway Exams
  • UPSC CSAT
  • Defence Exams
  • Insurance Exams
  • State Government Exams
  • MBA Entrance Exams

Quick Example

Example:

A shopkeeper buys an article for ₹800 and sells it for ₹920. Find the profit percentage.


Profit = SP − CP

= 920 − 800

= ₹120

Profit Percentage =

(120 ÷ 800) × 100

= 15%

Answer = 15% Profit


Final Takeaway

This Profit & Loss Cheat Sheet provides complete revision material for all major concepts frequently asked in competitive examinations. Regular practice of percentage calculations, discount concepts, false weight problems, and shortcut techniques can significantly improve speed, accuracy, and commercial problem-solving ability.

It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude.


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Complete Quick Revision Material for Competitive Exams

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About this section

About Quantitative Aptitude

Quantitative Aptitude builds calculation speed and accuracy — percentages, ratios, profit and loss, time and work, averages, interest and more. Every topic has formulas, shortcut techniques, solved examples and practice questions.

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