1. What is Discount?

Discount is the reduction given on the Marked Price (MP) of an article.

Formula:

$$\text{Discount} = \text{Marked Price} – \text{Selling Price}$$Discount=Marked Price−Selling Price

---

2. Marked Price (MP)

The Marked Price is the price printed on the article before discount.

---

3. Selling Price (SP)

The Selling Price is the price at which the article is actually sold after discount.

---

4. Discount Percentage

Formula:

$$\text{Discount \%} = \left(\frac{\text{Discount}}{\text{Marked Price}}\right) \times 100$$Discount %=(Marked PriceDiscount​)×100

---

5. Relationship between MP, SP, and Discount

$$\text{SP} = \text{MP} \left(1 – \frac{\text{Discount \%}}{100}\right)$$SP=MP(1−100Discount %​) $$\text{MP} = \frac{\text{SP} \times 100}{100 – \text{Discount \%}}$$MP=100−Discount %SP×100​

---

6. Successive Discounts

When two or more discounts are given one after another.

Equivalent Discount Formula:

$$\text{Net Discount \%} = a + b – \frac{ab}{100}$$Net Discount %=a+b−100ab​

(where a% and b% are successive discounts)

---

7. Discount with Profit and Loss

If Cost Price (CP) and Discount are given together, questions often involve Profit/Loss + Discount.

---

8. Important Exam Points

• Discount is always calculated on MP
• Discount ≠ Loss
• Successive discounts are not additive
• MP is usually higher than SP

---

9. Applications in Exams

• Shopkeeper problems
• Marked price vs selling price
• Discount with profit/loss
• Successive discount questions

---

Top 25 Practice Questions – Discount

Q1.

An article marked at ₹800 is sold at ₹640. Find the discount percentage.

Q2.

The marked price of an item is ₹1200. If a discount of 20% is given, find the selling price.

Q3.

An article is sold for ₹450 after giving a discount of 10%. Find the marked price.

Q4.

If the discount is 15% and MP is ₹2000, find the discount amount.

Q5.

A shopkeeper gives successive discounts of 10% and 20%. Find the net discount.

Q6.

An article marked at ₹500 is sold at ₹425. Find the discount %.

Q7.

The selling price of an article is ₹900 after a discount of 25%. Find the marked price.

Q8.

If the discount is ₹150 on an article marked at ₹750, find the discount %.

Q9.

An article is sold at a discount of 12%. If MP is ₹2500, find SP.

Q10.

A shopkeeper allows a discount of 30% on an article marked at ₹1400. Find SP.

Q11.

If a 20% discount is equal to ₹160, find the marked price.

Q12.

An article is sold for ₹720 after giving two successive discounts of 10% and 20%. Find MP.

Q13.

The marked price of an article is increased by 25% and then a discount of 20% is given. Find the net change.

Q14.

If MP = ₹1000 and SP = ₹850, find discount %.

Q15.

An article marked at ₹2400 is sold at ₹1800. Find discount %.

Q16.

A shopkeeper gives a discount of 15% on MP and still gains 20%. If CP is ₹800, find MP.

Q17.

The discount on an article is 40%. If MP is ₹600, find SP.

Q18.

An article is marked at ₹2000. What discount % must be given to sell it at ₹1500?

Q19.

A 10% discount and then another 10% discount is given. Find net discount %.

Q20.

The marked price of an article is ₹900. If sold at ₹810, find discount %.

Q21.

An article marked at ₹1600 is sold at a discount of 25%. Find SP.

Q22.

If SP is ₹1050 after 30% discount, find MP.

Q23.

A shopkeeper gives a discount of 5% more than the marked discount of 20%. Find total discount %.

Q24.

The discount allowed on an article is ₹300 which is 15% of MP. Find MP.

Q25.

An article is marked at ₹500. If a discount of 10% is given twice, find final SP.

Answer

Answers – Discount

Q1. 20%
Q2. ₹960
Q3. ₹500
Q4. ₹300
Q5. 28%
Q6. 15%
Q7. ₹1200
Q8. 20%
Q9. ₹2200
Q10. ₹980
Q11. ₹800
Q12. ₹1000
Q13. No change (0%)
Q14. 15%
Q15. 25%
Q16. ₹1150
Q17. ₹360
Q18. 25%
Q19. 19%
Q20. 10%
Q21. ₹1200
Q22. ₹1500
Q23. 25%
Q24. ₹2000
Q25. ₹405