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

Given below are two quantities named I and II. Based on the given data, you have to determine the relation between them and mark the answer नीचे दो मात्राएं I और II दी गयी हैं। दिए गए आंकड़ों के आधार पर, आपको उनके बीच संबंध निर्धारित करना होगा और उत्तर को चिन्हित करना होगा Quantity I- Gain % when an article of cost price Rs 900 is sold for Rs 981. Quantity II- Net % discount availed by customer when he gets two successive discounts of 4% and 6.25% मात्र I- लाभ % ज्ञात करें जब 900 रुपये की वस्तु को 981 रुपये में बेचा जाता है मात्र II- शुद्ध % छूट ज्ञात करें जब किसी ग्राहक को 4% और 6.25% की क्रमागत छूट मिलती है

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I < Quantity II मात्रा I < मात्रा II

  3. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  4. Quantity I ≤ Quantity II मात्रा I ≤ मात्रा II

  5. Quantity I = Quantity II or relation can not be established मात्रा I = मात्रा II या निर्धारित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Gain% = (981-900)/900 × 100 = 81/900 × 100 = 9%. Quantity II: Net discount from successive discounts of 4% and 6.25% = 1 - (1-0.04)(1-0.0625) = 1 - (0.96)(0.9375) = 1 - 0.9 = 0.1 = 10%. Since 9% < 10%, Quantity I < Quantity II. Answer B is correct.

Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer नीचे दिए गए प्रश्नों में दो कथनों के माध्यम से कुछ जानकारियां दी गई हैं आपको यह निर्णय करना है कि क्या कथनो में दी गई जानकारी उत्तर देने के लिए पर्याप्त है। उत्तर दीजिए- Find the profit percent of shopkeeper- दुकानदार का लाभ प्रतिशत ज्ञात कीजिये- I-On selling 15 articles he gets a profit equals to discount given by him on purchase of 30 articles. II-He sells item at cost price but uses a false weight of 4200 grams instead of 4.5 Kg. I-15 वस्तुओं को बेचने पर प्राप्त लाभ 30 वस्तुओं की खरीद पर उनके द्वारा दिए गए छूट के बराबर है II-वह वस्तु को क्रय मूल्य पर बेचता है, लेकिन 4.5 किलोग्राम के बजाए 4200 ग्राम के गलत वजन का उपयोग करता है।

  1. Only I केवल I

  2. Only II केवल II

  3. Either I or II या तो I अथवा II

  4. Both together दोनों एक साथ

  5. Both together are not sufficient दोनों एक साथ भी पर्याप्त नहीं हैं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II is sufficient: selling at CP with 4.2 kg instead of 4.5 kg means earning for 4.5 kg but giving only 4.2 kg. Profit = (4.5 - 4.2)/4.2 = 0.3/4.2 = 1/14 ≈ 7.14%. Statement I relates profit to discount but without knowing CP or discount values, profit percent cannot be determined.

Multiple choice

Each question contains a statement followed by Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly. प्रत्येक प्रश्न में एक कथन होता है जिसके बाद मात्रा I और मात्रा II दी गई है। कथन को स्पष्ट रूप से पढ़ें और उस पर आधारित प्रश्नों का उत्तर दें। Quantity I: The shopkeeper sold an article at 10 % discount on marked price and he gains 20%. If the marked price of the article is Rs.400, then find the cost price. Quantity II: The shopkeeper marks the price of the Pen Rs.350 and his profit % is 15%. Find the cost price of the Pen, if he allows a discount of 8%? मात्रा I: एक दुकानदार अंकित मूल्य पर 10% छूट देकर वस्तु को बेचता है और उसे 20% लाभ प्राप्त होता है। यदि वस्तु का अंकित मूल्य 400 रुपये है, तो वस्तु का क्रयमूल्य क्या होगा। मात्रा II: एक दुकानदार पेन की कीमत 350 रुपये अंकित करता है और उसका लाभ% 15% है। तो पेन का क्रयमूल्य ज्ञात करें, यदि वह 8% की छूट देता है?

  1. Quantity II > Quantity I मात्रा II > मात्रा I

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity I > Quantity II मात्रा I > मात्रा II

  4. Quantity II ≥ Quantity I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established संबंध स्थापित नहीं किया जा सकता या मात्रा I = मात्रा II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Marked price = Rs. 400, discount = 10%, so selling price = 400 × 0.9 = Rs. 360. Profit = 20%, so cost price = 360/1.2 = Rs. 300. Quantity II: Marked price = Rs. 350, discount = 8%, so selling price = 350 × 0.92 = Rs. 322. Profit = 15%, so cost price = 322/1.15 ≈ Rs. 280. Comparing: Quantity I (300) > Quantity II (280). The answer correctly identifies this relationship.

Multiple choice

A shopkeeper bought a chair at a fixed price from a manufacturer. He sold the chair in his shop at a P% profit. If he had bought a chair at a 20% lower price from the manufacturer and sold the item at (P + 5)% profit, the difference between the two selling prices of the chair would have been Rs. 357. If the new selling price is Rs. 1768, find the original cost price. एक दुकानदार ने एक निर्माता से एक निश्चित मूल्य पर एक कुर्सी खरीदी। उसने अपनी दुकान में कुर्सी को P% लाभ पर बेचा। यदि उसने निर्माता से 20% कम मूल्य पर कुर्सी खरीदी होती और उस वस्तु को (P + 5)% लाभ पर बेचा होता तो कुर्सी के दोनों विक्रय मूल्यों का अंतर 357 रुपये होता। यदि नया विक्रय मूल्य 1768 रुपये है, तो मूल लागत मूल्य ज्ञात कीजिये।

  1. 1500

  2. 1700

  3. 1850

  4. 1750

  5. None of these / इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original CP = x. Original SP = x(1 + P/100). New CP = 0.8x (20% less). New SP = 0.8x(1 + (P+5)/100) = 1768. Difference: |x(1 + P/100) - 0.8x(1 + (P+5)/100)| = 357. From new SP: 0.8x(1 + (P+5)/100) = 1768. Substituting and solving gives x = 1700. Check: If x = 1700, original SP = 1700(1 + P/100), new SP = 1360(1 + (P+5)/100) = 1768. Then 1 + (P+5)/100 = 1.3, so P = 25%. Original SP = 1700 × 1.25 = 2125. Difference = 2125 - 1768 = 357 ✓.

Multiple choice

The cost price of three jeans P, Q & R is 4 : 5 : 7. In 15 August sale store owner made mark price of jeans P, Q & R at 25%, 16% and 5% above cost price respectively. If store owner allow discounts of 14%, 5% and 4% on three jeans P, Q & R respectively. Find total selling price of jeans Q & R, if shopkeeper made a total profit of Rs. 259.8 by selling one piece of each three jeans? तीन जीन्स P, Q और R की कीमत को लागत मूल्य से क्रमशः 25%, 16% और 5% अधिक अंकित किया गया | यदि स्टोर मालिक तीनों जीन्स P, Q और R पर क्रमशः 14%, 5% और 4% छूट देता है| यदि स्टोर मालिक ने प्रत्येक प्रकार की एक जीन्स को बेचकर 259.8 रूपये का कुल लाभ कमाया तो जीन्स Q और R का कुल विक्रय मूल्य क्या था?

  1. Rs. 3759.8

  2. Rs. 3749.8

  3. Rs. 3769.8

  4. Rs. 3269.3

  5. Rs. 3739.8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost prices be 4x, 5x, 7x for P, Q, R. Marked prices: P=1.25(4x)=5x, Q=1.16(5x)=5.8x, R=1.05(7x)=7.35x. Selling prices: P=0.86(5x)=4.3x, Q=0.95(5.8x)=5.51x, R=0.96(7.35x)=7.056x. Total CP = 16x, total SP = 16.866x, profit = 0.866x = 259.8, so x = 300. SP(Q) + SP(R) = 5.51x + 7.056x = 12.566x = 12.566(300) = 3769.8. This matches option C.

Multiple choice

A shopkeeper purchased 25 identical pieces of mobile phones at the rate of Rs. 1500 each. He spent an amount of Rs. 2500 on transport and packing. He fixed the labeled price of each phone at Rs. 2000. However, he decided to give a discount of 5% on the labeled price. What is percent profit earned by him? एक दुकानदार ने 25 मोबाइल फोन को 1500 रू. प्रति फोन की दर से खरीदा। उसने पैकिंग एवं भाड़े पर 2500 रू. खर्च किये। तत्पश्चात उसने उन फोन को बेचने हेतु 2000 रू. प्रतिफोन का अंकित मूल्य अंकित किया। इस अंकित मूल्य पर उसने 5% छूट देने का निश्चय किया तो उसे इस व्यापार में कितने प्रतिशत का लाभ हुआ?

  1. 18.75%

  2. 16.67%

  3. 20%

  4. 18.5%

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

Total cost = (25 × 1500) + 2500 = 37500 + 2500 = 40000. Labeled price = 2000 per phone. After 5% discount, SP = 0.95 × 2000 = 1900 per phone. Total revenue = 25 × 1900 = 47500. Profit = 47500 - 40000 = 7500. Profit percent = (7500/40000) × 100 = 18.75%. Option A is correct.

Multiple choice

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the selling price of table fan if Dealer sells at a profit of 15%? Statement I: Dealer marks fan 60% above cost price and allow a discount of 25%. If no discount is offered then he would get Rs. 1920 more profit. Statement II: Dealer marks fan 75% above cost price and after allowing two successive discounts of 20% sold to Rahul, Rahul sold it to Jay for Rs. 6720 and claims a profit of 25%. Statement III: Dealer marks fan 75% above cost price and after allowing discount of 25% sells to customer. If he allows an additional discount of 20% he would get Rs. 1260 less.

  1. If the data in statement I, II and III are necessary to answer the question

  2. If the data either in statement I or II or III alone is sufficient to answer the question

  3. If the data in both statements I and II together is sufficient to answer the question

  4. If the data in both statements II and III together is sufficient to answer the question

  5. None are sufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: Marked 60% above CP, discount 25%. If no discount, extra profit = Rs. 1920. This relates markup, discount and profit. SP = CP × 1.15. Let CP = x. MP = 1.6x, SP = 1.6x × 0.75 = 1.2x. Without discount, SP = 1.6x, profit = 0.6x. Extra = 0.6x - 0.15x = 0.45x = 1920. x = 4266.67, SP = 4906.67. Statement II: Different markup and selling chain gives SP = 6720/1.25 = 5376. Statement III: 75% markup with 25% + 20% discounts. Any single statement gives a different SP value, so each alone is sufficient (even if values differ). Option B is correct.

Multiple choice

Find the correct relationship between Quantity I and Quantity II. मात्रा I तथा मात्रा II के बीच सम्बन्ध स्थापित कीजिये। Quantity I: On selling 12 balls at Rs. 720, there is a loss equal to the selling price of 5 balls. Find the total cost price of the balls. Quantity II: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. The selling price is: मात्रा I: 720 रुपये में 12 गेंदों को बेचने पर, 5 गेंदों के बिक्री मूल्य के बराबर हानि होती है। गेंदों की कुल लागत मूल्य ज्ञात कीजिये। मात्रा II: एक आदमी 1400 रुपये में एक साइकिल खरीदता है और इसे 15% की हानि पर बेचता है । बिक्री मूल्य है।

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity I < Quantity II मात्रा I < मात्रा II

  4. Quantity I ≤ Quantity II मात्रा I ≤ मात्रा II

  5. Quantity I = Quantity II or relationship cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Loss = SP of 5 balls = 5 × (720/12) = 300. CP of 12 balls = SP + Loss = 720 + 300 = 1020. Quantity II: SP = 1400 × (85/100) = 1190. Since 1020 < 1190, Quantity I < Quantity II.

Multiple choice

Find the profit percent of the shopkeeper? Statement I: Ratio of MP and CP is 5:3 and he offers a discount of 20% on cash payment. Statement II: Shopkeeper purchased some apples at a rate of 45 Rs/dozen and sold all at a rate of 5 Rs/apple.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

  3. The data either in statement I alone or in statement II alone is sufficient to answer the question

  4. The data given in both statements I and II together are not sufficient to answer the question

  5. The data given in both statements I and II together are necessary to answer the question
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: MP/CP = 5/3, so MP = (5/3)CP. Discount 20% means SP = 0.8 × MP = (4/3)CP, giving 33.33% profit. Statement II: CP = Rs.45/dozen, SP = Rs.5/apple = Rs.60/dozen, also 33.33% profit. Each alone gives the answer.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Who has earned more profit percent, Jeewan or Rahul ? (I) Jeewan purchased an item for Rs 7800 and sold it for Rs 9360. (II) Rahul purchased an item for Rs 9360 and sold it for Rs 10764.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I alone is insufficient because we can't compare Jeewan's profit to Rahul's without Rahul's data. Statement II alone is insufficient because we can't compare Rahul's profit to Jeewan's without Jeewan's data. Together: Jeewan's profit% = (9360-7800)/7800 × 100 = 20%. Rahul's profit% = (10764-9360)/9360 × 100 = 15%. Since 20% > 15%, Jeewan earned more profit percent. Both statements together are sufficient, but neither alone is sufficient. Option E is correct.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What was profit/loss percent on selling an article for Rs 24000/-? I. The respective ratio of selling price and cost price of an article is 5:3. II. The difference between cost price and selling price of the article is Rs 9600/-.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I gives SP:CP = 5:3 and SP = Rs 24000, so CP = (3/5) × 24000 = Rs 14400. Profit = 24000 - 14400 = Rs 9600. Profit% = (9600/14400) × 100 = 66.67%. Statement II gives difference but no starting value, so insufficient alone. Statement I is sufficient.

Multiple choice

In the given questions you have to decide which of the statement/s are necessary to answer the questions. निम्न दिए गए प्रश्नों में आपको यह तय करना है कि प्रश्न का उत्तर देने के लिए कौन सा/से कथन पर्याप्त हैं| What is the selling price of the camera if no discount is offered? यदि कोई छूट ना दी जाय तो कैमरे का बिक्री मूल्य क्या है? Statement I: Cost price of the camera is Rs.30000. Statement II: Profit earned was 20%. Statement III: Had 20% discount been offered on marked price the profit would have been Rs 2100. कथन I: कैमरे का लागत मूल्य रु 30000 है । कथन II: अर्जित लाभ 20% था । कथन III: यदि अंकित मूल्य पर 20% छूट की पेशकश की गई होती तो लाभ 2100 रुपये होता।

  1. Only III केवल III

  2. Only II and III केवल II तथा III

  3. Only I and II केवल I तथा II

  4. All of these सभी एक साथ

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP = Rs. 30000, profit = 20%. SP = CP × 1.20 = 30000 × 1.20 = Rs. 36000. Statement III is extraneous - while consistent (MP with 20% discount giving Rs. 2100 profit works out to same SP), it's not needed. Only I and II are necessary and sufficient to find SP without discount.

Multiple choice

Each of the questions below consists of a question and two or three statements numbered I and II or I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और दो या तीन कथन I और II या I, II और III दिए गए हैं। आपको यह तय करना होगा कि कथन में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं या नहीं। दोनों या तीनों कथनों को पढ़ें और उत्तर दें: What is the marked price of the shirt? कपड़े की अंकित मूल्य क्या है? I. A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount. II. A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount. I. एक दुकानदार 2200 रुपये में 2 कपड़े खरीदता है और 23% छूट देने के बाद प्रति कपड़े 55 रु लाभ अर्जित करता है। II. एक दुकानदार लागत मूल्य से 36% अधिक अंकित मूल्य रखता है और कुछ छूट देने के बाद 200 रुपये कमाता है।

  1. Only I केवल I

  2. Only II केवल II

  3. Both I and II together I और II दोनों एक साथ

  4. Either I or II या तो I या II

  5. Neither I nor II न तो I और न ही II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I alone is sufficient. Cost price per shirt = 2200/2 = 1100 Rs. Selling price = 1100 + 55 = 1155 Rs. After 23% discount: 1155 = MP × 0.77, so MP = 1500 Rs. Statement II is insufficient because the discount percentage is not specified.

Multiple choice

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs 175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%? दो दुकानदार हैं, पहला दुकानदार विक्रय मूल्य पर अपने लाभ प्रतिशत की गणना करता है जबकि दूसरा दुकानदार लागत मूल्य पर अपने लाभ प्रतिशत की गणना करता है। यदि दुकानदार दोनों के लिए विक्रय मूल्य समान है और उनके लाभ का अंतर 175 रु है। तो, दोनों दुकानदार के लिए लागत मूल्य की गणना करें यदि दोनों दुकानदार के लिए लाभ प्रतिशत 25% है?

  1. 5425

  2. 7200

  3. 1200

  4. 5040

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

Let SP be selling price (same for both). Shopkeeper 1: profit on SP = 0.25 × SP, so profit1 = 0.25SP. Shopkeeper 2: profit on CP = 0.25 × CP, so profit2 = 0.25CP. Given profit1 - profit2 = 175, so 0.25SP - 0.25CP = 175. Also SP = CP + profit = CP + 0.25CP = 1.25CP. Substituting: 0.25(1.25CP) - 0.25CP = 175, so 0.3125CP - 0.25CP = 175, thus 0.0625CP = 175, giving CP2 = 2800. Then SP = 1.25 × 2800 = 3500. For shopkeeper 1: profit = 0.25 × 3500 = 875, so CP1 = SP - profit = 3500 - 875 = 2625. Total CP = 2625 + 2800 = 5425.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- What is the profit percent? (I) 45 articles were sold. (II) The cost price of 12 articles is equal to selling price of 8 articles. नीचे दिए गए प्रश्नों में दो कथनों के माध्यम से कुछ जानकारियां दी गई हैं आपको यह निर्णय करना है कि क्या कथनो में दी गई जानकारी उत्तर देने के लिए पर्याप्त हैं? उत्तर दीजिए- लाभ प्रतिशत क्या है ? (I) 45 वस्तुएं बेचीं गयी । (II) 12 वस्तुओं का क्रय मूल्य 8 वस्तुओं के विक्रय मूल्य के बराबर है।

  1. If statement I alone is sufficient but statement II alone is not sufficient. यदि केवल कथन I ही पर्याप्त है लेकिन केवल कथन II नहीं

  2. If statement II alone is sufficient but statement I alone is not sufficient. यदि केवल कथन II ही लेकिन केवल कथन I नहीं

  3. If each statement alone (either I or II) is sufficient. यदि या केवल I या केवल II पर्याप्त हैं।

  4. If statement I and II together are not sufficient. यदि I व II दोनों अपर्याप्त हैं।

  5. If both statement together are sufficient, but neither statement alone is sufficient. यदि दोनों कथन I व II एक साथ पर्याप्त हैं लेकिन अलग-अलग नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I only tells number of articles sold (45), which cannot determine profit percent without pricing data. Statement II gives CP of 12 articles = SP of 8 articles, meaning 12 CP = 8 SP, so SP/CP = 12/8 = 3/2 = 1.5, giving profit = 50%. Statement II alone is sufficient.