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

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered) Find the profit percent of shopkeeper $Quantity I : Ratio of MP and CP is 5:3 and he offers a discount of 20% on cash payment.$ $Quantity II Shopkeeper purchased some apples at rate of 45 Rs/dozen and sold all at rate of 5 Rs/banana.$

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: MP:CP = 5:3, let MP = 5x, CP = 3x. 20% discount means SP = 0.8 × 5x = 4x. Profit = SP - CP = 4x - 3x = x. Profit percent = (x/3x) × 100 = 33.33%. Quantity II: Problem mentions 'apples' then 'bananas' - appears to have inconsistent units. If 12 items purchased at Rs 45/dozen and sold at Rs 5/item, profit = (60 - 45)/45 = 33.33%. Both quantities give equal profit, so answer E is correct.

Multiple choice

A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs 33 less, he would have gained 10%. Find the cost price of the article?

  1. Rs 400

  2. Rs 260

  3. Rs 325

  4. Rs 200

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

Let the original cost price be C. The man sells at 10% profit, so selling price = 1.1C. If bought at 15% less, new CP = 0.85C. Sold for Rs 33 less gives new SP = 1.1C - 33. This new SP gives 10% profit on new CP, so 1.1C - 33 = 1.1(0.85C) = 0.935C. Solving: 1.1C - 0.935C = 33, so 0.165C = 33, giving C = Rs 200.

Multiple choice

If a shopkeeper marks an item 50% above its CP and if 20% discount is given on the marked price and the shopkeeper makes profit of 256 Rs, then what will be the actual cost price of the item?
  1. $1296 Rs$
  2. $1280 Rs$
  3. $1320 Rs$
  4. $1500 Rs$
  5. $1456 Rs$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Marked price = x + 50% of x = 1.5x. After 20% discount, selling price = 1.5x - 20% of 1.5x = 1.2x. Profit = 1.2x - x = 0.2x = 256. Therefore x = 256/0.2 = 1280 Rs.

Multiple choice

In selling an article for Rs. 76, there is a profit of 52%. If it is sold for Rs. 75, the profit percent will be किसी वस्तु को 76 रूपये में बेचा जाता है तो 52 % का लाभ होता है अगर इसे 75 रूपये में बेचा जाता है तो लाभ % ज्ञात करो ?

  1. 35 %

  2. 50%

  3. 39%

  4. 42%

  5. 45 %
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When selling at Rs. 76 with 52% profit, cost price = 76/1.52 = 50. When selling at Rs. 75, profit = 75 - 50 = 25. Profit percentage = (25/50) × 100 = 50%. Option B is correct.

Multiple choice

By selling a pen at a profit of 60% a man got Rs 38 more than one third of its cost price. What is the cost price of pen? 60% के लाभ पर एक कलम बेचकर एक आदमी को अपनी लागत मूल्य के एक तिहाई से 38 रुपये अधिक मिला। कलम की लागत मूल्य क्या है ?

  1. Rs. 30

  2. Rs. 45

  3. Rs. 60

  4. Rs. 70

  5. none of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let cost price be Rs. x. Selling at 60% profit gives SP = 1.6x. This equals x/3 + 38. Setting up: 1.6x = x/3 + 38, which gives 1.6x - 0.33x = 38, so 1.27x = 38, giving x = 38/1.27 = 30. The cost price is Rs. 30. Verification: 60% of 30 = 18, SP = 48. One-third of 30 = 10, and 48 - 10 = 38. Correct.

Multiple choice

Marked price of an item is Rs 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Ramesh buys 5 items, what is the effective discount? एक वस्तु का अंकित मूल्य 200 रुपये है। 1 वस्तु की खरीद पर छूट 22% है, 4 वस्तुओं की खरीद पर छूट 33% है। रमेश ने 5 वस्तुएँ खरीदीं, प्रभावी छूट क्या है?

  1. 30.8%

  2. 20 %

  3. 15.65%

  4. 26%

  5. 22%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Marked price = Rs. 200. For 1 item: 22% discount, price = 200 × 0.78 = Rs. 156. For 4 items: 33% discount, price = 200 × 0.67 × 4 = Rs. 536. Total for 5 items = 156 + 536 = Rs. 692. Marked price for 5 = 200 × 5 = Rs. 1000. Effective discount = (1000 - 692) / 1000 × 100 = 30.8%.

Multiple choice

A shopkeeper marks an article at such a price that after giving a discount of 12% on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs.385, then the sum of the marked price and the selling price (in Rs.) of the article is: एक दुकानदार एक वस्तु को इतनी कीमत पर अंकित करता है कि अंकित मूल्य पर 12% की छूट देने के बाद भी उसे 15% का लाभ होता है। यदि वस्तु का क्रय मूल्य 385 रुपये है, तो वस्तु के अंकित मूल्य और बिक्री मूल्य (रु में) का योग है:

  1. 945.87

  2. 849.50

  3. 984.75

  4. 954.75

  5. 972.62
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost price = Rs 385. Selling price with 15% profit = 385 × 1.15 = Rs 442.75. Marked price with 12% discount: SP = 0.88 × MP, so MP = 442.75/0.88 = Rs 503.125. Sum of MP and SP = 503.125 + 442.75 = Rs 945.875 ≈ Rs 945.87.

Multiple choice

A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23% If he gains Rs, 18.40 on the sale of the article, then what is the marked price of the article? एक दुकानदार एक वस्तु के अंकित मूल्य पर 18% की छूट देता है और फिर भी 23% का लाभ कमाता है यदि उसे वस्तु की बिक्री पर 18.40 रुपये का लाभ होता है, तो वस्तु का अंकित मूल्य क्या है?

  1. 120

  2. 140

  3. 160

  4. 130

  5. 200
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let marked price be M. After 18% discount, selling price = 0.82M. Profit is 23% of cost price, and actual profit = Rs. 18.40. So 0.23 × CP = 18.40, CP = 80. Selling price = CP + profit = 80 + 18.40 = 98.40. But SP also equals 0.82M, so M = 98.40/0.82 = 120. Therefore marked price = Rs. 120.

Multiple choice

A shopkeeper marked up the price of an item by 96% on the actual cost price and allows the discount of 25%. If he gave 2 items free on every dozen purchase, then find the profit percent on sale of 1 dozen items. एक दुकानदार एक वस्तु की कीमत वास्तविक लागत मूल्य पर 96% अधिक अंकित करता है और 25% की छूट देता है। यदि उसने प्रत्येक दर्जन खरीद पर 2 वस्तुएँ निःशुल्क दीं, तो 1 दर्जन वस्तुओं की बिक्री पर लाभ प्रतिशत ज्ञात कीजिए।

  1. 45%

  2. 40%

  3. 30%

  4. 25%

  5. 26%
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let CP = 100. Marked price = 196 (96% markup). After 25% discount: SP = 196 × 0.75 = 147 per item. For 1 dozen (12 items sold), customer gets 14 items (12 + 2 free). Total CP for 14 items = 1400. Total received for 12 items = 12 × 147 = 1764. Profit = 1764 - 1400 = 364. Profit % = 364/1400 × 100 = 26%.

Multiple choice

The marked price of a Pant and a T-Shirt are in the ratio of 3: 2. The shopkeeper gives 50% discount on the Pant. If the total discount on the Pant and the T-Shirt is 40% the discount offered on the T-Shirt is: एक पैंट और एक टी-शर्ट का अंकित मूल्य 3:2 के अनुपात में है। दुकानदार पैंट पर 50% की छूट देता है। यदि पैंट और टी-शर्ट पर कुल छूट 40% है तो टी-शर्ट पर दी जाने वाली छूट है:

  1. 25 %

  2. 37.5%

  3. 39%

  4. 42%

  5. 45 %
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Pant marked price = 3x, T-Shirt marked price = 2x. Pant discount = 50% of 3x = 1.5x. Total marked price = 5x, total discount = 40% of 5x = 2x. If Pant discount is 1.5x and total discount is 2x, then T-Shirt discount = 2x - 1.5x = 0.5x. T-Shirt discount % = (0.5x ÷ 2x) × 100 = 25% (Option A).

Multiple choice

A profit of 13% is made by selling a shirt after offering a discount of 20%. If the marked price of the shirt is Rs. 2260, find its cost price. एक कमीज को 20% की छूट देने के बाद बेचने पर 13% का लाभ होता है। यदि शर्ट का अंकित मूल्य रु. 2260, इसका क्रय मूल्य ज्ञात कीजिए।

  1. Rs 1600 1600 रुपये

  2. Rs 1400 1400 रुपये

  3. Rs 1250 1250 रुपये

  4. Rs 1150 1150 रुपये

  5. Rs 1320 1320 रुपये
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Marked Price = Rs. 2260, Discount = 20%, so Selling Price = 80% of 2260 = Rs. 1808. Profit = 13%, so Selling Price = 113% of Cost Price. Therefore, Cost Price = 1808/1.13 = Rs. 1600.

Multiple choice

The cost prices of two articles A and B are in the ratio 4:5. While selling these articles, the shopkeeper gains 10% on article A and 20% on article B and the difference in their selling prices is Rs.480. The difference in the cost price (in Rs.) of articles B and A is:

  1. 350

  2. 250

  3. 300

  4. 400
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost price of A = 4x and B = 5x. After 10% profit on A, SP = 4.4x; after 20% profit on B, SP = 6x. Difference in SP = 1.6x = 480, so x = 300. Difference in CP = 5x - 4x = 300.

Multiple choice

A certain quantity of rice was bought for Rs. x and sold for Rs. y, thereby earning a profit of 25%. Had the cost price been 20% less and the selling price been Rs. 58 less, a profit of 20% would have been earned. Find the value of x.

  1. 400

  2. 200

  3. 300

  4. 250
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From the first scenario, y = 1.25x (25% profit). From the second scenario with 20% lower CP and Rs. 58 less SP, we have y - 58 = 1.2(0.8x) = 0.96x. Substituting y = 1.25x gives 1.25x - 58 = 0.96x, so 0.29x = 58, hence x = 200.