True Discount is an important maths topic for school exams and quantitative aptitude. It appears in SSC, banking, railway, state exams, entrance exams and placement tests. The topic becomes easy when the meaning, formula and common question types are learned together.
This tutorial explains true discount in simple language with definitions, formulas, shortcut tricks, solved examples, practice questions, answers, common mistakes and FAQs. The aim is to help students understand the topic instead of only memorising formulas.
What Is True Discount?
True discount is the difference between the amount due in future and its present worth. It is used when a future payment is settled before its due date.
Important Terms
| Point | Details |
|---|---|
| Amount due | Money payable in future |
| Present worth | Value of future amount today |
| True discount | Amount due minus present worth |
| Rate | Interest rate |
| Time | Period before due date |
Important Formulas
| Point | Details |
|---|---|
| Present worth | Amount x 100 / (100 + Rate x Time) |
| True discount | Amount due – Present worth |
| Simple interest on present worth | Equal to true discount |
| Amount | Present worth + True discount |
| Time in years | Months / 12 |
Step-by-Step Method
- Write amount due, rate and time.
- Find present worth using the formula.
- Subtract present worth from amount due.
- Check whether time is in years.
- Write final answer with rupees.
Shortcut Tricks
- True discount is interest on present worth.
- Do not calculate interest on future amount.
- Convert months into years.
- Present worth is always less than amount due.
- True discount plus present worth equals amount due.
Common Question Types
| Point | Details |
|---|---|
| Find true discount | Use amount and present worth |
| Find present worth | Discount future amount |
| Find amount due | Add present worth and discount |
| Find rate | Use relation with simple interest |
| Find time | Convert period carefully |
Solved Examples
Example 1
Find present worth of Rs. 1100 due after 1 year at 10 percent.
Present worth = 1100 x 100 / 110 = Rs. 1000.
Example 2
Find true discount if amount due is Rs. 1100 and present worth is Rs. 1000.
True discount = 1100 – 1000 = Rs. 100.
Example 3
Find true discount on Rs. 1200 due after 1 year at 20 percent.
Present worth = 1200 x 100/120 = 1000. True discount = 200.
Example 4
Amount is Rs. 1500 and present worth Rs. 1200. Find discount.
Discount = Rs. 300.
Example 5
6 months is how many years?
6/12 = 1/2 year.
Government Exam Style Questions
Question 1
A bill of Rs. 1320 is due after 1 year at 10 percent. Find true discount.
Present worth = 1320 x 100/110 = 1200. True discount = 120.
Discount is on present worth.
Question 2
Present worth is Rs. 5000 and rate is 8 percent for 1 year. Find amount due.
Interest = 5000 x 8/100 = 400. Amount = 5400.
True discount equals SI on present worth.
Question 3
A bill of Rs. 630 is due after 6 months at 10 percent. Find present worth.
T = 1/2. Present worth = 630 x 100 / 105 = 600.
Convert months into years.
Common Mistakes
- Calculating interest on amount due.
- Forgetting present worth.
- Not converting months into years.
- Confusing true discount with banker’s discount.
- Subtracting in wrong order.
Practice Questions
- Find PW of 1100 at 10 percent 1 year.
- Find TD if amount 1100 and PW 1000.
- Find TD on 1260 due 1 year at 5 percent.
- Find PW of 600 due 2 years at 10 percent.
- Find amount if PW 1000 and TD 100.
- Find TD if PW 2000 and rate 5 percent 1 year.
- Find PW of 1050 due 6 months at 10 percent.
- Is PW more or less than amount?
- True discount is SI on which value?
- Amount due 2400, PW 2000, TD?
Answers to Practice Questions
- 1000
- 100
- 60
- 500
- 1100
- 100
- 1000
- Less
- Present worth
- 400
Frequently Asked Questions
What is true discount?
It is amount due minus present worth.
What is present worth?
It is current value of future payment.
True discount equals what?
It equals simple interest on present worth.
Is true discount same as banker’s discount?
No, banker’s discount is calculated on amount due.
Where is true discount used?
It is used in bill payment before due date.
Revision Notes
True discount is based on present worth, not future amount.
For quick revision, write the formula, solve one direct example, and then solve one word problem. This method helps in remembering the concept during exams.
Conclusion
True discount becomes easy when present worth is found first.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.
Additional Exam Notes
True Discount questions should be solved by first writing the known values and then selecting the correct rule. Do not start calculation before checking what the question is asking. Many mistakes happen because students use the correct formula for the wrong quantity.
When practising, solve questions in levels. Start with direct formula use, then move to mixed examples, and finally solve exam-style questions with a timer. This builds accuracy first and speed later.
Always check the final answer. The answer should match the unit, condition and range of the question. A length cannot be negative, an angle should match the triangle condition, and a discount or interest answer should be based on the correct value.