True Discount
📋 Quick-reference guides with key formulas and must-know concepts. Perfect for daily practice, last-minute revision, and on-the-go learning.
Cheat Sheets
Study MaterialTrue Discount Cheat Sheet
True Discount is one of the important commercial mathematics topics in Quantitative Aptitude and is frequently asked in SSC, Banking, Railway, UPSC, Insurance, and other competitive examinations.
This cheat sheet helps candidates understand present worth, true discount, banker’s discount, banker’s gain, bill discounting concepts, and shortcut techniques for solving true discount problems quickly and accurately in exams.
About This Cheat Sheet
Complete guide to True Discount for competitive exams:
Basic Concepts
- True Discount (TD)
- Present Worth (PW)
- Amount Due
- Immediate Payment Concept
Important Formulas
- TD Formula
- PW Formula
- Amount = PW + TD
- Banker's Gain Formula
Present Worth Problems
- Finding Present Worth
- Finding Sum Due
- Future Amount Problems
- Immediate Payment Questions
Banker's Discount
Concept of discount charged by banks on bills before maturity.
Banker's Gain
- BG = BD − TD
- BG and TD Relationship
- Gain Formulas
- Commercial Discount Concepts
Bills & Discounting Problems
- Bills Drawn Problems
- Discount Before Due Date
- Commercial Bills
- Payment Before Maturity
Rate & Time Problems
- Finding Rate Percent
- Finding Time
- Comparative Discount Problems
- Commercial Calculations
Shortcut Tricks
Fast solving methods, commercial mathematics shortcuts, and exam-oriented discount techniques.
Topics Covered
| Topic | Description |
|---|---|
| True Discount | Discount on amount due before maturity |
| Present Worth | Current value of amount due |
| Amount Due | Amount payable at future date |
| TD Formula | Formula to calculate true discount |
| PW Formula | Formula to calculate present worth |
| Banker's Discount | Discount charged by banks |
| Banker's Gain | Difference between BD and TD |
| BG and TD Relation | Relationship between gain and discount |
| Bills Drawn Problems | Commercial bill discounting problems |
| Immediate Payment | Discount for early payment |
| Finding Rate | Calculating rate percent |
| Finding Time | Calculating time duration |
| Commercial Calculations | Banking and bill transaction concepts |
| Shortcut Tricks | Fast solving methods for exams |
Why This Cheat Sheet is Important
Understand Commercial Mathematics Concepts
↓
Improve Financial Calculation Skills
↓
Apply Shortcut Techniques
↓
Solve Discount Problems Faster
↓
Score Better in Exams
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- Bank PO & Clerk
- Railway Exams
- UPSC CSAT
- Insurance Exams
- State Government Exams
- MBA Entrance Exams
Quick Examples
Example 1:
Find the Present Worth of ₹1,100 due after 1 year at 10% per annum.
PW = Amount × 100 / (100 + RT)
= 1100 × 100 / 110
= ₹1000
Example 2:
Find the True Discount on ₹2,200 due after 2 years at 10% per annum.
TD = Amount × RT / (100 + RT)
= 2200 × 20 / 120
= ₹366.67
Example 3:
If Present Worth is ₹800 and True Discount is ₹80, find the Amount Due.
Amount = PW + TD
= 800 + 80
= ₹880
Example 4:
Find the Banker’s Gain if Banker’s Discount = ₹150 and True Discount = ₹120.
BG = BD − TD
= 150 − 120
= ₹30
Example 5:
A bill of ₹5,000 is discounted at 12% for 6 months. Find Banker’s Discount.
BD = PRT/100
= 5000 × 12 × 1/2 ÷ 100
= ₹300
Final Takeaway
This True Discount Cheat Sheet provides complete revision material for all major concepts frequently asked in competitive examinations. Regular practice of present worth calculations, banker’s discount concepts, bill discounting 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.
View Full Cheat Sheet
Learn Smart. Score High.
Complete Quick Revision Material for Competitive Exams
View True Discount Cheat Sheet