In the previous section, we covered Profit and Loss Questions. In this section, we will focus specifically on Discount Questions with Answers and Solutions.
Discount is one of the most important concepts in Arithmetic and is frequently asked in SSC, RRB, Banking, Defence and other competitive examinations. Questions in this chapter generally involve Marked Price, Selling Price, Discount Percentage and Successive Discount concepts.
It is advised not to look at the solution immediately.
First, try to solve the question on your own and make a genuine attempt. If you are unable to solve it, then refer to the detailed solution. This approach will help you understand the concepts better and improve your problem-solving skills.
The questions on this page range from basic to exam-level difficulty and will help you build a strong understanding of discount-related concepts.
For formulas, you can refer to our dedicated Profit, Loss and Discount Formula section.
Question 1: A bookstall located near Samastipur Railway Station marked a Railway General Knowledge book at ₹900. During a special sale, the book was sold for ₹765. Find: a) Discount offered b) Discount Percentage
A. ₹135, 15%
B. ₹125, 15%
C. ₹135, 18%
D. ₹125, 18%
Solution
Key Numbers
Marked Price (MP) = ₹900
Selling Price (SP) = ₹765
Formula Used
Discount = MP − SP
Discount % = (Discount ÷ MP) × 100
Step 1: Find the Discount
Discount
= MP − SP
= 900 − 765
= ₹135
Step 2: Find the Discount Percentage
Discount %
= (Discount ÷ MP) × 100
Substituting the values:
= (135 ÷ 900) × 100
= (15 ÷ 100) × 100
= 15%
Answer
Discount = ₹135
Discount Percentage = 15%
Correct Option: A. ₹135, 15%
Question 2: A student preparing for SSC CGL purchases a MathsByNITian Quantitative Aptitude Study Package from a coaching bookstore in Lucknow. The marked price of the package is ₹500. During a promotional sale, a 20% discount is offered. Find: a) Discount amount b) Selling price of the package
A. ₹100, ₹400
B. ₹80, ₹420
C. ₹100, ₹420
D. ₹120, ₹400
Solution
Key Numbers
Marked Price (MP) = ₹500
Discount % = 20%
Step 1: Find the Discount Amount
Discount
= 20% of ₹500
= (20/100) × 500
= ₹100
Step 2: Find the Selling Price
Selling Price
= Marked Price − Discount
= 500 − 100
= ₹400
Answer
Discount Amount = ₹100
Selling Price = ₹400
Correct Option: A. ₹100, ₹400
SSC/RRB/Banking Quick Method
20% of ₹500 = ₹100
Therefore,
Discount = ₹100
Selling Price
= 500 − 100
= ₹400
Answer = Option A
Question 3: A bus ticket operator offers a 20% early booking discount on tickets from Delhi to Udaipur if passengers book their tickets at least 7 days before departure. Find the selling price of each ticket after discount:
a) Ticket marked at ₹1,200
b) Ticket marked at ₹1,500
c) Ticket marked at ₹2,000
Solution
Key Numbers
Discount % = 20%
Since the discount is 20%, the passenger has to pay:
100% − 20%
= 80%
of the marked price.
(a) Ticket Marked at ₹1,200
Selling Price
= 80% of ₹1,200
= (80/100) × 1200
= ₹960
(b) Ticket Marked at ₹1,500
Selling Price
= 80% of ₹1,500
= (80/100) × 1500
= ₹1,200
(c) Ticket Marked at ₹2,000
Selling Price
= 80% of ₹2,000
= (80/100) × 2000
= ₹1,600
Answer
(a) ₹960
(b) ₹1,200
(c) ₹1,600
SSC/RRB/Banking Quick Method
When a discount of 20% is given, the customer pays:
80% of the Marked Price
So directly calculate:
80% of 1200 = 960
80% of 1500 = 1200
80% of 2000 = 1600
Question 4: A customer visits the famous Thaggu Ke Laddu sweet shop in Kanpur and purchases sweets and snacks worth ₹700.During a festive offer, the shopkeeper gives a 15% discount on the total bill. Find the amount the customer needs to pay after the discount.
A. ₹595
B. ₹580
C. ₹600
D. ₹620
Solution
Key Numbers
Total Bill = ₹700
Discount % = 15%
Step 1: Find the Discount
Discount
= 15% of ₹700
= (15/100) × 700
= ₹105
Step 2: Find the Amount Payable
Amount Payable
= Total Bill − Discount
= 700 − 105
= ₹595
Answer
Amount Payable = ₹595
Correct Option: A. ₹595
Question 5:The Procurement Department of Indian Railways wants to purchase a set of track maintenance tools for railway track maintenance staff.The marked price of the tool kit is ₹20,000, but the supplier agrees to sell it for ₹18,400. Find: a) Discount offered b) Discount Percentage
A. ₹1,600, 8%
B. ₹1,600, 10%
C. ₹1,800, 8%
D. ₹1,800, 10%
Solution
Key Numbers
Marked Price (MP) = ₹20,000
Selling Price (SP) = ₹18,400
Step 1: Find the Discount
Discount
= MP − SP
= 20,000 − 18,400
= ₹1,600
Step 2: Find the Discount Percentage
Discount %
= (Discount ÷ MP) × 100
Substituting the values:
= (1600 ÷ 20,000) × 100
= 0.08 × 100
= 8%
Answer
Discount = ₹1,600
Discount Percentage = 8%
Correct Option: A. ₹1,600, 8%
Question 6: An aspirant has recently cleared the IBPS PO Examination and is preparing to join his new job at a bank. Before joining, he decides to buy formal clothes for office use. During a festive sale, a clothing store offers a 10% discount on the marked price of all items. The aspirant purchases: One pair of formal trousers marked at ₹1,800, Two formal shirts marked at ₹1,000 each. Find the amount he has to pay after the discount.
A. ₹3,420
B. ₹3,240
C. ₹3,600
D. ₹3,060
Solution
Key Numbers
Price of Formal Trousers = ₹1,800
Price of One Formal Shirt = ₹1,000
Number of Shirts = 2
Discount % = 10%
Step 1: Find the Total Marked Price
Total Marked Price
= Price of Trousers + Price of 2 Shirts
= 1800 + (2 × 1000)
= 1800 + 2000
= ₹3,800
Step 2: Find the Discount
Discount
= 10% of ₹3,800
= (10/100) × 3800
= ₹380
Step 3: Find the Amount Payable
Amount Payable
= Total Marked Price − Discount
= 3800 − 380
= ₹3,420
Answer
Amount Payable = ₹3,420
Correct Option: A. ₹3,420
Question 7: A candidate travelling from Lucknow to Prayagraj purchases a laptop bag. Marked Price = ₹1000, Discount = 10% , GST = 18%: Find the final amount payable.
Solution
Key Numbers
Marked Price = ₹1,000
Discount = 10%
GST = 18%
Step 1: Find the Price After Discount
Discount (Discount is applied first and GST is calculated on the discounted price)
= 10% of ₹1,000
= (10/100) × 1000
= ₹100
Price After Discount
= 1000 − 100
= ₹900
Step 2: Find the GST Amount
GST is applied on the discounted price.
GST
= 18% of ₹900
= (18/100) × 900
= ₹162
Step 3: Find the Final Amount Payable
Final Amount Payable
= Price After Discount + GST
= 900 + 162
= ₹1,062
Answer
Final Amount Payable = ₹1,062
SSC/RRB/Banking Quick Method
First apply the discount:
10% discount
= Customer pays 90%
₹1,000 × 90%
= ₹900
Now apply GST:
₹900 × 118%
= ₹900 × 1.18
= ₹1,062
Answer = ₹1,062
Solve more GST questions at our GST Questions with Answers and Solutions section.
Question 8: A coaching institute in Mukherjee Nagar marks a book at ₹800 and sells it for ₹680. Find the discount percentage.
Solution
Key Numbers
Marked Price (MP) = ₹800
Selling Price (SP) = ₹680
Step 1: Find the Discount
Discount
= MP − SP
= 800 − 680
= ₹120
Step 2: Find the Discount Percentage
Discount %
= (Discount ÷ MP) × 100
Substituting the values:
= (120 ÷ 800) × 100
= (12 ÷ 80) × 100
= (3 ÷ 20) × 100
= 15%
Answer
Discount = ₹120
Discount Percentage = 15%
SSC/RRB/Banking Quick Method
Discount = ₹800 − ₹680 = ₹120
Discount % = 120/800 = 3/20
From Fraction to Percentage, 3/20 = 15%
What We Learned in This Section
In this section, we practiced Discount Questions involving Discount Amount, Discount Percentage, Selling Price and Amount Payable after Discount.
We also learned how Discount and GST are applied in real-life situations and competitive exam questions.
To strengthen your understanding further, practice our Marked Price Questions, Successive Discount Questions, and Profit, Loss and Discount Formula sections.
Important Resources Related to 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
- Dishonest Shopkeeper Questions with Answers and Solutions
- Profit, Loss & Discount Practice Questions
- Profit, Loss & Discount PYQs SSC, RRB, Banking & Defence Exams (Solved)