Discounts and marked price: Class 8 practice
A discount is a percentage off the marked price (MP). Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Percentages
The idea behind discounts and marked price
A discount is a percentage off the marked price (MP). Selling price = MP − discount. Successive discounts are applied one after the other, not added.
Step-by-step method
- Discount = rate × MP ÷ 100.
- SP = MP − discount.
- For a second discount, apply it to the new price.
Worked example 1 (Basic)
Marked price ₹950, discount 20%. Find the selling price.
- Discount = ₹190
- SP = ₹760
- Answer: ₹760
Worked example 2 (Standard)
After a 15% discount an item sells for ₹1275. Find the marked price.
- SP = MP × 0.85
- MP = 1275 ÷ 0.85 = ₹1500
- Answer: ₹1500
Worked example 3 (Challenge)
An item marked ₹1900 gets successive discounts of 20% and 5%. Find the final price.
- After 20%: ₹1520
- After 5%: ₹1444
- Answer: ₹1444
Common mistakes and misconceptions
- Applying discount on cost price
- Adding two successive discounts
Practice questions
- (Basic) Marked price ₹650, discount 15%. Find the selling price.
- (Basic) Marked price ₹750, discount 10%. Find the selling price.
- (Standard) After a 20% discount an item sells for ₹680. Find the marked price.
- (Standard) After a 25% discount an item sells for ₹1387.5. Find the marked price.
- (Challenge) An item marked ₹1400 gets successive discounts of 15% and 5%. Find the final price.
- (Challenge) An item marked ₹1550 gets successive discounts of 25% and 5%. Find the final price.
Answer key with full working
- Q1: Discount = ₹97.5 → SP = ₹552.5 → Answer: ₹552.5
- Q2: Discount = ₹75 → SP = ₹675 → Answer: ₹675
- Q3: SP = MP × 0.8 → MP = 680 ÷ 0.8 = ₹850 → Answer: ₹850
- Q4: SP = MP × 0.75 → MP = 1387.5 ÷ 0.75 = ₹1850 → Answer: ₹1850
- Q5: After 15%: ₹1190 → After 5%: ₹1130.5 → Answer: ₹1130.5
- Q6: After 25%: ₹1162.5 → After 5%: ₹1104.375 → Answer: ₹1104.375
Syllabus note
This skill is listed under "Comparing Quantities" for Class 8 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is discounts and marked price in?
"Comparing Quantities", Class 8 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.