Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

After allowing a discount of 16\%, there was still a gain of 5\%. The the percentage of marked price over the cost price is-

  1. 15%

  2. 18%

  3. 21%

  4. 25%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SP after 16% discount = 0.84 × MP. This SP gives 5% gain on CP, so SP = 1.05 × CP. Equating: 0.84 × MP = 1.05 × CP, so MP/CP = 1.05/0.84 = 1.25. This means marked price is 25% above cost price. Options A (15%), B (18%), and C (21%) underestimate the markup needed.

Multiple choice

A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount. एक दुकानदार वस्तु के अंकित मूल्य पर 10% की छूट देने के बाद भी 17% का लाभ प्राप्त करता है |उसका लाभ प्रतिशत ज्ञात कीजिये यदि वस्तुओं को कोई भी छूट न देकर अंकित मूल्य पर बेचा जाय |

  1. 30%

  2. 23%

  3. 27%

  4. 37%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let marked price = M. After 10% discount, selling price = 0.9M. Shopkeeper gains 17%, so cost price = 0.9M/1.17. If sold at marked price without discount, profit = (M - CP)/CP × 100. Substituting CP: Profit = (M - 0.9M/1.17)/(0.9M/1.17) × 100 = (1.17M - 0.9M)/(0.9M) × 100 = 0.27M/0.9M × 100 = 30%.

Multiple choice

Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same and total selling is Rs.5600, then the cost price of together A and B may be - दो वस्तुएँ A और B क्रमशः 10% और 15% लाभ पर बेची गई है । यदि उन पर प्राप्त लाभ की राशि एक समान रही हो और कुल विक्रय मूल्य 5600 रु. है, तो A और B का लागत मूल्य एकसाथ कितना हो सकता है?

  1. Rs./रु.2500

  2. Rs./रु.7000

  3. Rs./रु.5000

  4. Rs./रु.8000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP_A = x and CP_B = y. Given 10% of x = 15% of y (equal profit), so 0.10x = 0.15y, which gives x = 1.5y. Total SP = 1.10x + 1.15y = 5600. Substituting x = 1.5y: 1.10(1.5y) + 1.15y = 1.65y + 1.15y = 2.80y = 5600, so y = 2000 and x = 3000. Combined CP = 2000 + 3000 = 5000. Options A, B, D are incorrect as they don't satisfy the equal profit condition.

Multiple choice

The marked price of an article is Rs.1600. A shopkeeper gives two succesivve discounts and sells the article at Rs.1088. If first discount is 20% then find the other discount. एक वस्तु का अंकित मूल्य 1600 है। एक दुकानदार दो क्रमागत छूट देता है और वस्तु को 1088 रु. में बेचता है यदि पहली छूट 20% है तो अन्य छूट ज्ञात कीजिए ।

  1. 12%

  2. 10%

  3. 8%

  4. 15%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

After 20% discount on Rs.1600, price = 1600 × 0.80 = Rs.1280. Final selling price = Rs.1088. Second discount = (1280 - 1088)/1280 × 100 = 192/1280 × 100 = 15%. Options A, B, C are incorrect as they don't achieve the target selling price when applied sequentially.

Multiple choice

A shopkeeper bought an article at Rs. 1800 and marked price (\frac{7}{18}) more than cost price. He gives two successive discounts of 20 % and 25 %. Find the selling price of the article.

  1. 1500 Rs.

  2. 1870 Rs.

  3. 1250 Rs.

  4. Can’t determine because the value of x or y is not given.

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Marked price = Cost price + Markup = 1800 + (7/18)×1800 = 1800 + 700 = 2500. After first discount of 20%: 2500 × 0.8 = 2000. After second discount of 25%: 2000 × 0.75 = 1500. The selling price is Rs. 1500. Option A is correct. Note: The option text mentions 'value of x or y' which appears to be a template error unrelated to this problem.

Multiple choice

A shopkeeper bought three types watches A, B and C whose cost price is in the ratio of 8:6:7. If he sold type B watch at 2200 Rs, he would suffer loss of 8(1/3)%, but he sold his all three watches in the ratio of 6: 5:5 and made an overall profit of 14(2/7)%. What will be the profit percentage when type-C watch is sold at Rs. 500 more than its selling price?

  1. 33..33%

  2. 25%

  3. 20%

  4. Can’t be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of A, B, C be 8x, 6x, 7x. For B sold at 2200 with 8(1/3)% loss: 2200 = 6x × (1 - 25/24) = 6x × (7/8), so 6x = 2200 × 8/7 ≈ 2514.29, giving x ≈ 419.05. Overall profit 14(2/7)% means total revenue = total CP × (9/8). With sales ratio 6:5:5, we can find individual selling prices. The question asks for profit % when C sells at Rs. 500 more than its selling price, which gives 25% profit.

Multiple choice

Raghav is very expert in bargaining. Once he went to a fortune shop. When Raghav asked the price of toothpaste the shopkeeper told him the price by increasing 30% of the original cost . but Raghav insisted to decrease the price by 30% , so the shopkeeper sold it by decreasing the price by 30% what is the ratio of loss of shopkeeper and paid price by Raghav?
  1. $91:9$
  2. $9:91$
  3. $100:91$
  4. $91:100$

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original price be P. After 30% increase: 1.3P. After 30% decrease: 1.3P × 0.7 = 0.91P. Loss: P - 0.91P = 0.09P. Ratio of loss (0.09P) to paid price (0.91P) = 9:91.

Multiple choice

While selling an article, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs.15 less as profit. The marked price of the article is - एक दुकानदार एक वस्तु को बेचने पर 5% की छूट देता है। यदि वह 7% की छूट देता है तो वह लाभ में 15 रू. कम प्राप्त करता है। वस्तु का अंकित मूल्य है -

  1. Rs.750

  2. Rs.850

  3. Rs.1250

  4. Rs.840
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let M be the marked price. At 5% discount, selling price is 0.95M. At 7% discount, selling price is 0.93M. The difference of Rs.15 equals 0.02M, so M = 15/0.02 = Rs.750. The 2% difference in discount directly reduces profit by Rs.15.

Multiple choice

A person sells two articles, each for the same price Rs.720. He incurs 20% loss on the first and 10% loss on the second. Find his overall percent loss. एक व्यक्ति दो वस्तुएं प्रत्येक को 720 रू. में बेचता है। वह पहले पर 20% हानि प्राप्त करता है और दूसरे पर 10% हानि प्राप्त करता है। उसकी सम्पूर्ण प्रतिशत हानि ज्ञात कीजिए?

  1. 15.29%

  2. 23.16%

  3. 24.4%

  4. 21%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

CP1 = 720/0.8 = 900 (20% loss), CP2 = 720/0.9 = 800 (10% loss). Total CP = 1700, total SP = 1440. Loss = 1700 - 1440 = 260. Percent loss = (260/1700) × 100 = 15.29%. The loss percentage is closer to 15% than 30% because both items are sold below cost.

Multiple choice

An article is sold at Rs.6423.90. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the marked price? एक वस्तु को 6423.90 रू. में बेचा गया । दुकानदार उस पर 8%, 5% और 2% की क्रमिक छूट देता है। अंकित मूल्य क्या है ?

  1. Rs./रु.8500

  2. Rs./रु.8000

  3. Rs./रु.7500

  4. Rs./रु.7500.50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After successive discounts of 8%, 5% and 2%, the net discount factor is 0.92 × 0.95 × 0.98 = 0.85772. Selling price = 6423.90 = MP × 0.85772. Marked price = 6423.90/0.85772 = Rs.7500 (approximately). Working backwards: 7500 × 0.92 = 6900, 6900 × 0.95 = 6555, 6555 × 0.98 = 6423.90.

Multiple choice

A vendor sold two magazines namely A and B. He sold magazine ‘A’ at a loss of 20% and magazine ‘B’ at a profit of 25% but finally there is no loss or no gain. If the total Selling Price of both magazines is Rs.450. Find the difference between the Cost Price of Magazine ‘A’ and ‘B’.

  1. Rs. 60

  2. Rs. 50

  3. Rs. 75

  4. Rs. 85

  5. None of the Above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP_A = x, CP_B = y. SP_A = 0.8x (20% loss), SP_B = 1.25y (25% profit). Total SP = 450, and no net gain/loss means total CP = total SP = 450. Also: 0.8x + 1.25y = 450. We need |x - y|. From x + y = 450 and 0.8x + 1.25y = 450. Solving: 0.8x + 1.25(450 - x) = 450 gives x = 200, y = 250. Difference = |200 - 250| = 50.

Multiple choice

Find the correct relationship between the given quantities: A person sells two coolers. First cooler is sold by him in Rs 8000 and cost price of second cooler is 7200. He got 10% profit on second cooler after 10% discount and he allow 20% discount on first cooler. Quantity I = Marked price of first cooler. Quantity II = Marked price of second cooler.

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First cooler: SP = 8000 after 20% discount. MP = 8000/0.8 = 10000. Quantity I = 10000. Second cooler: CP = 7200, 10% profit means SP = 7200 × 1.1 = 7920. This SP is after 10% discount, so MP = 7920/0.9 = 8800. Quantity II = 8800. Since 10000 > 8800, Quantity I > Quantity II.

Multiple choice

A horse and a cow were sold for Rs. 540, making a profit of 25% on the horse and 20% profit on the cow. If profit on horse is 20% and on cow is 25%, total selling price is Rs. 538. Find the cost price of the horse?

  1. Rs.200

  2. Rs.240

  3. Rs.150

  4. Rs.120
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let H be the cost price of horse and C be the cost price of cow. From the given conditions: 1.25H + 1.20C = 540 and 1.20H + 1.25C = 538. Solving these equations simultaneously, we get H = Rs. 240 and C = Rs. 200. The question asks for the cost price of the horse.