Successive Discount Questions are an important part of the Profit, Loss and Discount chapter and are frequently asked in competitive examinations.
Although we have already solved a few Successive Discount problems in our Profit, Loss and Discount Formula section, this page is dedicated to helping you master the concept through a variety of carefully selected questions.
The questions range from easy to exam-level difficulty and cover the most important concepts of successive discounts commonly asked in SSC CGL, SSC CHSL, MTS, CPO, RRB, Banking, Defence, NDA, CDS, and many other competitive examinations.
Before looking at the solutions, try solving each question on your own. This will strengthen your conceptual understanding and improve your speed and accuracy in the examination.
You can revise the formulas from our Profit, Loss and Discount Formula section. For quick revision, the important Successive Discount formulas are also provided below.
So, let us start with Successive Discount Questions with Answers and Solutions.
Quick Note: Formula to Successive Discount
Equivalent Discount= a + b − ab/100
Three Discounts= a + b + c − ab/100 − bc/100 − ac/100 + abc/10000
The formulas are given for reference only. For faster calculations in exams, simply apply the discounts one after another instead of memorizing the formulas.
Question 1: A tourist driving through the beautiful Patratu Valley Road in Jharkhand stops at a handicraft shop.The marked price of a souvenir is ₹2,000.The shopkeeper offers two successive discounts of 10% and 20%.Find the equivalent discount percentage.
A. 28%
B. 30%
C. 32%
D. 35%
Solution
Given:
First Discount (a) = 10%
Second Discount (b) = 20%
Formula:
Equivalent Discount = a + b − (ab/100)
Calculation:
Equivalent Discount
= 10 + 20 − (10 × 20)/100
= 30 − 2
= 28%
Answer:
Therefore, the Equivalent Discount is 28%.
Correct Answer: A. 28%
Shortcut to SSC/RRB/Defence/Banking and other competitive exams
₹2,000 → 90% = ₹1,800 → 80% of ₹1,800 = ₹1,440. Therefore, the customer pays 72% (90% × 80%) of the marked price.
Hence, the Equivalent Discount = 100% − 72% = 28%.
Question 2: A passenger travelling by Jammu Tawi Express purchases a travel bag. Marked Price = ₹3,000. Successive Discounts = 20% and 10%. Find the final selling price.
A. ₹2,100
B. ₹2,160
C. ₹2,200
D. ₹2,250
Solution
Given:
Marked Price = ₹3,000
First Discount (a) = 20%
Second Discount (b) = 10%
Formula:
Equivalent Discount = a + b − (ab/100)
Selling Price = Marked Price × (100 − Equivalent Discount)/100
Calculation:
Equivalent Discount
= 20 + 10 − (20 × 10)/100
= 30 − 2
= 28%
Selling Price
= ₹3,000 × (100 − 28)/100
= ₹3,000 × 72/100
= ₹2,160
Answer:
Therefore, the Selling Price is ₹2,160.
Correct Answer: B. ₹2,160
SSC/RRB/Defence/Banking Shortcut
First find the Equivalent Discount.
20% and 10% together give an Equivalent Discount of 28%.
Therefore, the customer pays 72% of the Marked Price.
Selling Price = 72% of ₹3,000 = ₹2,160.
Question 3: A passenger orders food through TravelKhana while travelling by train.The food package carries a marked price of ₹1,500. TravelKhana offers successive discounts of 10% and 5%.Find the equivalent discount percentage.
A. 14.5%
B. 15%
C. 15.5%
D. 16%
Solution
Given:
First Discount (a) = 10%
Second Discount (b) = 5%
Formula:
Equivalent Discount = a + b − (ab/100)
Calculation:
Equivalent Discount
= 10 + 5 − (10 × 5)/100
= 15 − 0.5
= 14.5%
Answer:
Therefore, the Equivalent Discount is 14.5%.
Correct Answer: A. 14.5%
Question 4:A student purchases a MathsByNITian Mock Test Series.The course has a marked price of ₹2,500. A discount of 20% is offered first, followed by an additional discount of 10%.Find the final amount payable.
A. ₹1,700
B. ₹1,750
C. ₹1,800
D. ₹1,850
Solution
Given:
Marked Price = ₹2,500
First Discount (a) = 20%
Second Discount (b) = 10%
Formula:
Equivalent Discount = a + b − (ab/100)
Selling Price = Marked Price × (100 − Equivalent Discount)/100
Calculation:
Equivalent Discount
= 20 + 10 − (20 × 10)/100
= 30 − 2
= 28%
Final Amount Payable
= ₹2,500 × (100 − 28)/100
= ₹2,500 × 72/100
= ₹1,800
Answer:
Therefore, the final amount payable is ₹1,800.
Correct Answer: C. ₹1,800
SSC/RRB/Defence/Banking Shortcut:
After a 20% discount, the price becomes 80% of ₹2,500 = ₹2,000.
Then apply the 10% discount, so the final price = 90% of ₹2,000 = ₹1,800.
Question 5:During the Vijayadashami Festival, a clothing store offers three successive discounts of 10%, 10% and 20%.Find the equivalent discount percentage.
A. 35.2%
B. 36%
C. 38%
D. 40%
Solution
Given:
First Discount (a) = 10%
Second Discount (b) = 10%
Third Discount (c) = 20%
Formula:
Equivalent Discount = a + b + c − (ab/100) − (bc/100) − (ac/100) + (abc/10000)
Calculation:
Equivalent Discount
= 10 + 10 + 20 − (10 × 10)/100 − (10 × 20)/100 − (10 × 20)/100 + (10 × 10 × 20)/10000
= 40 − 1 − 2 − 2 + 0.2
= 35.2%
Answer:
Therefore, the Equivalent Discount is 35.2%.
Correct Answer: A. 35.2%
SSC/RRB/Defence/Banking Shortcut:
Assume the Marked Price is ₹100.
After discounts of 10%, 10%, and 20%, the price becomes ₹90 → ₹81 → ₹64.8.
Hence, the total discount is ₹35.2 out of ₹100, i.e., 35.2%.
Question 6: A passenger travelling from Hisar to Chandigarh books a ride through BlaBlaCar and purchases a Premium Membership. The membership has a marked price of ₹5,000. Successive discounts of 15% and 20% are offered. Find the final selling price.
A. ₹3,200
B. ₹3,400
C. ₹3,500
D. ₹3,600
Solution
Given:
Marked Price = ₹5,000
First Discount (a) = 15%
Second Discount (b) = 20%
Formula:
Equivalent Discount = a + b − (ab/100)
Selling Price = Marked Price × (100 − Equivalent Discount)/100
Calculation:
Equivalent Discount
= 15 + 20 − (15 × 20)/100
= 35 − 3
= 32%
Selling Price
= ₹5,000 × (100 − 32)/100
= ₹5,000 × 68/100
= ₹3,400
Answer:
Therefore, the final selling price is ₹3,400.
Correct Answer: B. ₹3,400
SSC/RRB/Defence/Banking Shortcut
Equivalent Discount = 15% + 20% − (15 × 20)/100 = 32%. Therefore, the customer pays 68% of ₹5,000 = ₹3,400.
If you don’t want to remember the formula, simply apply the discounts one after another: ₹5,000 × 85% = ₹4,250, then ₹4,250 × 80% = ₹3,400.
Question 7: Due to heavy Gurugram office-hour traffic, a navigation app offers a premium annual subscription.The marked price is ₹4,000. After two successive discounts of 20% and 25%, the customer purchases the subscription.Find the total discount amount.
A. ₹1,600
B. ₹1,500
C. ₹1,400
D. ₹1,300
Solution
Given:
Marked Price = ₹4,000
First Discount (a) = 20%
Second Discount (b) = 25%
Formula:
Equivalent Discount = a + b − (ab/100)
Discount Amount = Marked Price × Equivalent Discount/100
Calculation:
Equivalent Discount
= 20 + 25 − (20 × 25)/100
= 45 − 5
= 40%
Discount Amount
= ₹4,000 × 40/100
= ₹1,600
Answer:
Therefore, the total discount amount is ₹1,600.
Correct Answer: A. ₹1,600
Question 8: A customer compares offers from Domino’s Pizza and Pizza Hut.Domino’s offers successive discounts of 20% and 10%.Pizza Hut offers a single discount of 28%.Which offer is better?
A. Domino’s by 2%
B. Pizza Hut by 2%
C. Both are equal
D. Domino’s by 1%
Solution
Given:
Domino’s: Successive discounts of 20% and 10%
Pizza Hut: Single discount of 28%
Formula:
Equivalent Discount = a + b − (ab/100)
Calculation:
Equivalent Discount offered by Domino’s
= 20 + 10 − (20 × 10)/100
= 30 − 2
= 28%
Equivalent Discount offered by Pizza Hut
= 28%
Since both offers provide an equivalent discount of 28%, neither offer is better.
Answer:
Therefore, both offers are equal.
Correct Answer: C. Both are equal
Question 9: A family visits a Barbeque Nation Restaurant.The final bill after successive discounts of 20% and 10% is ₹3,600.Find the original marked bill amount.
A. ₹4,500
B. ₹4,800
C. ₹5,000
D. ₹5,200
Solution
Given:
Final Selling Price = ₹3,600
First Discount (a) = 20%
Second Discount (b) = 10%
Formula:
Equivalent Discount = a + b − (ab/100)
Marked Price = Selling Price × 100 / (100 − Equivalent Discount)
Calculation:
Equivalent Discount
= 20 + 10 − (20 × 10)/100
= 30 − 2
= 28%
Marked Price
= ₹3,600 × 100 / (100 − 28)
= ₹3,600 × 100 / 72
= ₹5,000
Answer:
Therefore, the original marked bill amount is ₹5,000.
Correct Answer: C. ₹5,000
SSC/RRB/Defence/Banking Shortcut:
If you don’t want to remember the formula, think in reverse: after successive discounts of 20% and 10%, the customer pays 72% of the original bill. Since 72% = ₹3,600, the original marked bill is ₹5,000.
Question 10: A customer shopping at Lulu Mall, Lucknow receives three successive discounts of 20%, 10% and 5% on a premium jacket.The marked price of the jacket is ₹8,000.Find: a) Equivalent Discount Percentage b) Final Selling Price
A. 31.6%, ₹5,472
B. 30%, ₹5,600
C. 32%, ₹5,440
D. 28%, ₹5,760
Solution
Given:
Marked Price = ₹8,000
First Discount (a) = 20%
Second Discount (b) = 10%
Third Discount (c) = 5%
Formula:
Equivalent Discount
= a + b + c − (ab/100) − (bc/100) − (ac/100) + (abc/10000)
Selling Price
= Marked Price × (100 − Equivalent Discount)/100
Calculation:
Equivalent Discount Percentage
= 20 + 10 + 5 − (20 × 10)/100 − (10 × 5)/100 − (20 × 5)/100 + (20 × 10 × 5)/10000
= 35 − 2 − 0.5 − 1 + 0.1
= 31.6%
Selling Price
= ₹8,000 × (100 − 31.6)/100
= ₹8,000 × 68.4/100
= ₹5,472
Answer:
a) Equivalent Discount = 31.6%
b) Final Selling Price = ₹5,472
Correct Answer: A. 31.6%, ₹5,472
SSC/RRB/Defence/Banking Shortcut:
Assume the discounts are applied one after another.
After 20% discount: ₹8,000 × 80% = ₹6,400
After 10% discount: ₹6,400 × 90% = ₹5,760
After 5% discount: ₹5,760 × 95% = ₹5,472
Therefore, the final selling price is ₹5,472, and the discount amount = ₹8,000 − ₹5,472 = ₹2,528.
Hence,
Equivalent Discount = (₹2,528 ÷ ₹8,000) × 100 = 31.6%.
Question 11: An Electric Scooty Manufacturer in Hisar launched a festive sales campaign near Hisar Railway Station. To attract customers, the company first offered a 15% discount on the marked price of a scooty and then an additional 10% discount on the discounted price.A customer finally purchased the scooty for ₹91,800.Find the marked price of the scooty.
A. ₹1,10,000
B. ₹1,15,000
C. ₹1,20,000
D. ₹1,25,000
Solution
Given:
Selling Price = ₹91,800
First Discount (a) = 15%
Second Discount (b) = 10%
Formula:
Equivalent Discount = a + b − (ab/100)
Marked Price = Selling Price × 100 / (100 − Equivalent Discount)
Calculation:
Equivalent Discount
= 15 + 10 − (15 × 10)/100
= 25 − 1.5
= 23.5%
Marked Price
= ₹91,800 × 100 / (100 − 23.5)
= ₹91,800 × 100 / 76.5
= ₹1,20,000
Answer:
Therefore, the marked price of the scooty is ₹1,20,000.
Correct Answer: C. ₹1,20,000
Question 12: A customer travelling from IGI Airport Terminal 3 to Aerocity Metro Station stopped at a shopping outlet inside the airport complex.The outlet offered: A discount of 20% on the marked price of a premium travel bag. An additional 5% airport traveller discount on the discounted price. After receiving both discounts, the customer paid ₹7,600.Find: a) Equivalent Discount Percentage b) Marked Price of the travel bag
A. 24%, ₹10,000
B. 24%, ₹9,500
C. 25%, ₹10,000
D. 25%, ₹9,500
Solution
Given:
Selling Price = ₹7,600
First Discount (a) = 20%
Second Discount (b) = 5%
Formula:
Equivalent Discount = a + b − (ab/100)
Marked Price = Selling Price × 100 / (100 − Equivalent Discount)
Calculation:
Equivalent Discount
= 20 + 5 − (20 × 5)/100
= 25 − 1
= 24%
Marked Price
= ₹7,600 × 100 / (100 − 24)
= ₹7,600 × 100 / 76
= ₹10,000
Answer:
a) Equivalent Discount = 24%
b) Marked Price of the travel bag = ₹10,000
Correct Answer: A. 24%, ₹10,000
What Did We Learn in Successive Discount Questions with Answers and Solutions?
After completing this practice set, you have learned how to:
- Find the equivalent discount after two and three successive discounts.
- Calculate the selling price after applying successive discounts.
- Find the marked price when the final selling price is given.
- Solve real-life word problems based on successive discounts, similar to those asked in SSC, RRB, Banking, Defence, NDA, CDS, and other competitive exams.
With regular practice, these questions become much easier to solve using both the formula method and the SSC shortcut method.
Important Resources Related to Profit, Loss and Discount
- Profit & Loss Questions with Answers and Solutions
- Profit, Loss and Discount: Formula, Questions, Tricks & Examples for SSC, RRB
- Profit, Loss and Discount Formulas: Complete Formula Sheet for SSC, RRB, Banking & Defence Exams
- Marked Price Questions with Answers and Solutions
- GST Questions with Answers and Solutions
- Dishonest Shopkeeper Questions with Answers and Solutions
- Discount Questions with Answers and Solutions
- Profit, Loss & Discount Practice Questions
- Profit, Loss & Discount PYQs SSC, RRB, Banking & Defence Exams (Solved)