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Numerical: Discount & Marked Price MCQ - Practice Questions with Answers

Solve 25 Numerical: Discount & Marked Price questions for RAS/RPSC preparation.

Practice questions

Q1Match the marked prices and discount rates with their selling prices: 1. ₹600 at 10% discount, 2. ₹750 at 20% discount, 3. ₹900 at 15% discount. Which matching is correct?

A 1-₹540, 2-₹600, 3-₹765
B 1-₹540, 2-₹650, 3-₹765
C 1-₹560, 2-₹600, 3-₹765
D 1-₹540, 2-₹600, 3-₹735
Explanation

Use selling price = marked price × (100 − discount rate)/100 for each entry separately. For 1, ₹600 at 10% discount gives 600 × 90/100 = ₹540. For 2, ₹750 at 20% discount gives 750 × 80/100 = ₹600. For 3, ₹900 at 15% discount gives 900 × 85/100 = ₹765. Therefore the correct matching is exactly 1-₹540, 2-₹600, 3-₹765.

Q2A shopkeeper marks an article at ₹1250 and gives a discount of 12%. What is the selling price?

A ₹1150
B ₹1000
C ₹1400
D ₹1100
Explanation

Discount is calculated on the marked price, not on the selling price. Here, discount = 12% of ₹1250 = 12/100 × 1250 = ₹150. The selling price is the marked price minus the discount. Therefore, selling price = ₹1250 − ₹150 = ₹1100. This also means the customer pays 88% of the marked price. So the article is sold for ₹1100 after allowing the 12% discount.

Q3A shirt has a marked price of ₹1,200. The shop gives two successive discounts of 20% and 5%. What is the final selling price?

A ₹900
B ₹912
C ₹960
D ₹1,140
Explanation

For successive discounts, apply each discount one after another, not by simply adding them unless the question asks for the equivalent rate. Marked price = ₹1,200. After 20% discount, price = 1,200 × 80/100 = ₹960. Now apply the second discount of 5% on ₹960: final selling price = 960 × 95/100 = ₹912. Therefore, the final selling price after both discounts is ₹912.

Q4A book is marked at ₹500. The seller offers a discount of 12%. Which one of the following statements is incorrect?

A Discount amount = ₹60
B Selling price = ₹440
C Selling price is 88% of marked price
D Selling price = ₹460
Explanation

The question asks for the incorrect statement. Discount = 12% of marked price = 12/100 × 500 = ₹60. Therefore, selling price = marked price − discount = ₹500 − ₹60 = ₹440. This also means the selling price is 88% of the marked price, because 100% − 12% = 88%. Hence the statement saying selling price = ₹460 is incorrect.

Q5A shopkeeper marks a bag at ₹1,250 and gives a discount of 12%. What is the selling price of the bag?

A ₹1,100
B ₹1,150
C ₹1,250
D ₹1,400
Explanation

For a discount problem, selling price = marked price − discount. Here the marked price is ₹1,250 and the discount is 12%. Discount amount = 12% of 1,250 = 1,250 × 12/100 = ₹150. Therefore, selling price = 1,250 − 150 = ₹1,100. This is the amount actually paid by the buyer after the price reduction, so the correct selling price is ₹1,100.

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More questions

6A jacket is marked at ₹2,000. A shopkeeper gives two successive discounts of 10% and 5%. The final selling price is ______.

A₹1,710
B₹1,700
C₹1,800
D₹1,900

7A mixer grinder is sold for ₹720 after giving a discount of 20% on its marked price. What was its marked price?

A₹864
B₹900
C₹576
D₹800

8A bag has a marked price of ₹1200. It is first discounted by 10% and then a further 5% is given on the reduced price. Which option is correct?

AThe total discount is ₹180.
BThe second discount is ₹60.
CThe final selling price is ₹1026.
DThe final selling price is ₹1080.

9A bag has a marked price of ₹1,200. It is sold for ₹960. Consider the statements: I. The discount is ₹240. II. The discount rate is 20%. III. The discount rate is 25%. Which statements are correct?

AOnly I
BI and II only
CII and III only
DI and III only

10Match each marked price and discount with its selling price. 1: ₹500 at 10% discount, 2: ₹640 at 25% discount, 3: ₹750 at 20% discount.

A1-₹450, 2-₹520, 3-₹600
B1-₹400, 2-₹480, 3-₹600
C1-₹450, 2-₹480, 3-₹650
D1-₹450, 2-₹480, 3-₹600

11An article has a marked price of ₹960 and a discount of 25% is allowed. Which of the following statements is correct?

AThe discount is ₹250 and the selling price is ₹710.
BThe discount is ₹240 and the selling price is ₹720.
CThe discount is ₹240 and the selling price is ₹800.
DThe discount is ₹192 and the selling price is ₹768.

12A shopkeeper buys a mixer for ₹1,000. He marks it 20% above cost price and then gives a discount of 10% on the marked price. What is his profit percentage?

A20%
B8%
C10%
D12%

13An article is marked at ₹1000. Two successive discounts of 10% and 20% are given. Consider the statements: 1. The effective discount is 28%. 2. The selling price is ₹720. 3. The effective discount is 30%. Which statements are correct?

A1 and 2 only
B2 and 3 only
C1 only
D3 only

14An article is marked at ₹1,600. The shopkeeper gives two successive discounts of 10% and 5%. Which of the following statements is correct?

AThe selling price is ₹1,368.
BThe selling price is ₹1,360.
CThe total discount is ₹248.
DThe equivalent single discount is 14%.

15An article is sold for ₹900 after a discount of 10%. Which marked price makes this statement correct?

A₹990
B₹1,000
C₹810
D₹1,100

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