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Quantitative Aptitude — Discount
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Quantitative Aptitude — Discount

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8 mins
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10
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Quantitative Aptitude — Discount — Questions with Answers Open after you finish the quiz — all 10 questions, with answers and explanations.
Q1. A shopkeeper offers a 15% discount on an item marked at Rs. 800. What is the selling price of the item?
  1. Rs. 680
  2. Rs. 720
  3. Rs. 700
  4. Rs. 750
Show answer
Answer: A. Rs. 680
Formula: Discount Amount = Marked Price * (Discount % / 100) Discount Amount = 800 * (15 / 100) = 8 * 15 = Rs. 120. Formula: Selling Price = Marked Price - Discount Amount Selling Price = 800 - 120 = Rs. 680.
Q2. An article is sold for Rs. 450 after a 10% discount. What was its marked price?
  1. Rs. 495
  2. Rs. 500
  3. Rs. 480
  4. Rs. 475
Show answer
Answer: B. Rs. 500
Formula: Selling Price = Marked Price * (1 - Discount % / 100) Let the Marked Price be MP. 450 = MP * (1 - 10 / 100) 450 = MP * (90 / 100) 450 = MP * 0.9 MP = 450 / 0.9 = 4500 / 9 = Rs. 500.
Q3. The marked price of a watch is Rs. 1200. If it is sold for Rs. 1080, what is the discount percentage?
  1. 10%
  2. 12%
  3. 15%
  4. 8%
Show answer
Answer: A. 10%
Formula: Discount Amount = Marked Price - Selling Price Discount Amount = 1200 - 1080 = Rs. 120. Formula: Discount % = (Discount Amount / Marked Price) * 100 Discount % = (120 / 1200) * 100 = (1 / 10) * 100 = 10%.
Q4. A single discount equivalent to two successive discounts of 20% and 10% is:
  1. 28%
  2. 30%
  3. 25%
  4. 27%
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Answer: A. 28%
Formula for equivalent single discount (D_eq) for two successive discounts D1 and D2: D_eq = D1 + D2 - (D1 * D2 / 100) D_eq = 20 + 10 - (20 * 10 / 100) D_eq = 30 - (200 / 100) D_eq = 30 - 2 = 28%.
Q5. A shopkeeper allows a 20% discount on the marked price of an article and still makes a profit of 25%. If the article costs the shopkeeper Rs. 800, what is its marked price?
  1. Rs. 1250
  2. Rs. 1200
  3. Rs. 1000
  4. Rs. 1100
Show answer
Answer: A. Rs. 1250
Given: Cost Price (CP) = Rs. 800, Profit % = 25%. Formula: Selling Price (SP) = CP * (1 + Profit % / 100) SP = 800 * (1 + 25 / 100) = 800 * (125 / 100) = 800 * 1.25 = Rs. 1000. Given: Discount % = 20%. Formula: SP = Marked Price (MP) * (1 - Discount % / 100) 1000 = MP * (1 - 20 / 100) 1000 = MP * (80 / 100) 1000 = MP * 0.8 MP = 1000 / 0.8 = 10000 / 8 = Rs. 1250.
Q6. By selling an article for Rs. 1440, a shopkeeper earns a profit of 20% after allowing a discount of 10% on the marked price. What is the marked price of the article?
  1. Rs. 1600
  2. Rs. 1800
  3. Rs. 1728
  4. Rs. 1500
Show answer
Answer: A. Rs. 1600
Given: Selling Price (SP) = Rs. 1440, Discount % = 10%. Formula: SP = Marked Price (MP) * (1 - Discount % / 100) 1440 = MP * (1 - 10 / 100) 1440 = MP * (90 / 100) 1440 = MP * 0.9 MP = 1440 / 0.9 = 14400 / 9 = Rs. 1600. (The profit percentage information is not directly required to find the marked price in this specific calculation, but it could be used to find the cost price.)
Q7. A shop offers a "Buy 3 Get 1 Free" scheme. What is the effective discount percentage?
  1. 25%
  2. 20%
  3. 33.33%
  4. 30%
Show answer
Answer: A. 25%
Total number of items received = Items paid for + Free items Total items = 3 + 1 = 4 items. Discount is given on 1 item (the free one). Formula: Effective Discount % = (Number of free items / Total number of items) * 100 Effective Discount % = (1 / 4) * 100 = 25%.
Q8. A retailer offers three successive discounts of 10%, 20%, and 25% on an item. What is the final selling price of an item marked at Rs. 2000?
  1. Rs. 1080
  2. Rs. 1200
  3. Rs. 1150
  4. Rs. 1000
Show answer
Answer: A. Rs. 1080
Given: Marked Price (MP) = Rs. 2000. First discount = 10%. Price after 1st discount = 2000 * (1 - 10 / 100) = 2000 * 0.9 = Rs. 1800. Second discount = 20%. Price after 2nd discount = 1800 * (1 - 20 / 100) = 1800 * 0.8 = Rs. 1440. Third discount = 25%. Final Selling Price = 1440 * (1 - 25 / 100) = 1440 * 0.75 = Rs. 1080.
Q9. A trader marks his goods 60% above the cost price. He allows a discount of 25% on the marked price. If he offers an additional discount of 10% for cash payment, what is his overall profit percentage?
  1. 5%
  2. 8%
  3. 10%
  4. 12.5%
Show answer
Answer: B. 8%
Let the Cost Price (CP) = Rs. 100. Formula: Marked Price (MP) = CP * (1 + Markup % / 100) MP = 100 * (1 + 60 / 100) = 100 * 1.6 = Rs. 160. First discount = 25% on MP. Price after 1st discount = 160 * (1 - 25 / 100) = 160 * 0.75 = Rs. 120. Additional discount for cash payment = 10% on the discounted price. Final Selling Price (SP) = 120 * (1 - 10 / 100) = 120 * 0.9 = Rs. 108. Formula: Profit = SP - CP Profit = 108 - 100 = Rs. 8. Formula: Profit % = (Profit / CP) * 100 Profit % = (8 / 100) * 100 = 8%.
Q10. A shopkeeper allows a 10% discount on the marked price. If he had allowed a 15% discount, his profit would have decreased by Rs. 60. If the cost price of the article is Rs. 720, what is the marked price?
  1. Rs. 1000
  2. Rs. 1200
  3. Rs. 1500
  4. Rs. 900
Show answer
Answer: B. Rs. 1200
Let the Marked Price (MP) be M. Given Cost Price (CP) = Rs. 720. Case 1: Discount = 10%. Selling Price (SP1) = M * (1 - 10 / 100) = 0.9M. Profit1 = SP1 - CP = 0.9M - 720. Case 2: Discount = 15%. Selling Price (SP2) = M * (1 - 15 / 100) = 0.85M. Profit2 = SP2 - CP = 0.85M - 720. Given: Profit1 - Profit2 = Rs. 60. (0.9M - 720) - (0.85M - 720) = 60 0.9M - 0.85M - 720 + 720 = 60 0.05M = 60 M = 60 / 0.05 = 6000 / 5 = Rs. 1200.
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