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

A tradesman marks the price of his goods such that after allowing a discount of 25%, he earns a profit of 40%. What is the marked price of an article whose cost price is Rs.180? एक ट्रेडमैन अपने वस्तु की कीमत को ऐसे अंकित करता है कि 25% की छूट के बाद, वह 40% का लाभ कमाता है। एक वस्तु का चिह्नित मूल्य क्या है जिसकी लागत मूल्य रु 180 है?

  1. 285

  2. 336

  3. 358

  4. 375

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

Cost price = Rs. 180. Profit = 40%, so selling price = 180 × 1.4 = Rs. 252. This selling price is after 25% discount on marked price. If MP is marked price, then 75% of MP = 252. Therefore, MP = 252/0.75 = Rs. 336.

Multiple choice

A shopkeeper sold an article at profit of 30%.If both the cost price and selling price is lowered by Rs. 100.Then the profit would be 4% more than before. Then find the cost price of the article? एक दुकानदार अपनी वस्तु को 30% के लाभ पर बेचता है। यदि क्रयमूल्य और विक्रयमूल्य दोनों ही 100 रु से कम कर दिए जाए तब लाभ 4% बड़ जाता है। तो वस्तु का क्रयमूल्य ज्ञात करो ?

  1. Rs.780

  2. Rs. 820.20

  3. Rs. 780.60

  4. Rs. 850

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

Let CP = x. Original SP = 1.3x (30% profit). New CP = x - 100, new SP = 1.3x - 100. New profit = 34%, so (1.3x - 100) = 1.34(x - 100). Solving: 1.3x - 100 = 1.34x - 134, which gives 0.04x = 34, so x = 850. Verifying: Original: CP=850, SP=1105, profit=255 (30%). New: CP=750, SP=1005, profit=255 (34%).

Multiple choice

A shopkeeper fixes the marked price of an item 50% above its CP. The percentage of discount allowed to gain 20% is: एक दुकानदार वस्तु का अंकित मूल्य अपने क्रय मूल्य से 50% अधिक निर्धारित करता है। तो 20% के लाभ के लिए उसे कितने % की छूट देनी होगी ?

  1. 16.66%

  2. 20.66%

  3. 20%

  4. 30%

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

Let CP = 100. MP = 150 (50% above CP). For 20% profit, SP should be 120. Discount = (MP - SP)/MP × 100 = (150 - 120)/150 × 100 = 30/150 × 100 = 20%. The shopkeeper needs to offer a 20% discount on the marked price to achieve a 20% profit.

Multiple choice

Cost price of two laptops is same. One is sold at a profit of 15% and the other for Rs. 5200 more than the first. If the net profit is 20% then find the cost price of each laptop? दो लैपटॉप का क्रयमूल्य समान है। जिनमे से एक को 15% की लाभ पर और दूसरे को पहले से 5200 रु ज्यादा में बेचा जाता है। यदि उसका कुल लाभ 20% हो तब लैपटॉप का क्रय मूल्य ज्ञात करो ?

  1. Rs. 52000

  2. Rs. 54000

  3. Rs. 36000

  4. Rs. 42500

  5. Can’t be determined ज्ञात नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP of each laptop = x. First laptop SP = 1.15x. Second laptop SP = 1.15x + 5200. Total SP = 2.30x + 5200. Total CP = 2x. Net profit is 20%, so Total SP = 2x × 1.20 = 2.40x. Equating: 2.30x + 5200 = 2.40x, which gives 0.10x = 5200, so x = 52000. Each laptop costs Rs. 52000.

Multiple choice

A publisher printed 3000 copies of ‘Future Shock’ at a cost of Rs2400. He gave 500 copies free to different philanthropic institutions. He allowed a discount of 25% on the published price and gave one copy free for every 25 copies bought at a time. He was able to sell all the copies in this manner. If the published price is Rs3.25, what is his overall gain or loss percentage in the whole transaction?

  1. 113

  2. 120

  3. 162

  4. 144

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

Total cost = Rs2400 for 3000 copies. 500 copies given free, so 2500 copies for sale. Published price = Rs3.25 with 25% discount, selling price = Rs3.25×0.75 = Rs2.4375. Free copies: for every 25 bought, 1 free, so for 2500 sold, 100 free copies. Total copies actually sold = 2400. Revenue = 2400×2.4375 = Rs5850. Gain = 5850-2400 = Rs3450. Gain% = (3450/2400)×100 = 143.75% ≈ 144%.

Multiple choice

Marked price of an article is 1600 Rs. More than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price? एक वस्तु की चिह्नित कीमत लागत मूल्य से 1600 रुपये अधिक है। जब उसी वस्तु को 500 रुपये की छूट पर बेचा जाता है तो अर्जित लाभ 25% है। 30% का लाभ कमाने के लिए, वस्तु को किस मूल्य पर बेचा जाना चाहिए?

  1. 5720

  2. 5520

  3. 5862

  4. 6234

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

Let CP = x. MP = x + 1600. Selling price with discount = (x+1600) - 500 = x + 1100. Profit = 25%, so x + 1100 = 1.25x, giving x = 4400. For 30% profit: SP = 1.3 × 4400 = 5720.

Multiple choice

The cost price of article A is double the cost price of article B. If the selling price of article B is Rs. 3600 and the profit percentage is 20\%, then find the cost price of article A?

  1. 3600

  2. 4200

  3. 6000

  4. 6500

  5. 7500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Article B: SP = Rs. 3600, profit = 20%. CP = SP/(1 + profit%/100) = 3600/1.2 = Rs. 3000. Article A: CP = 2 × CP of B = 2 × 3000 = Rs. 6000. Therefore, the cost price of article A is Rs. 6000, which matches option C.

Multiple choice

Cost price of two articles is Rs. 560 each. The shopkeeper sold one article at a profit of 24% and another article at a loss of 18%. Find the overall profit/loss Percentage ? दो लेखों की लागत मूल्य रु। 560 प्रत्येक। दुकानदार ने एक लेख को 24% के लाभ पर और दूसरे लेख को 18% की हानि पर बेचा। समग्र लाभ / हानि प्रतिशत ज्ञात कीजिये?

  1. 5% profit

  2. 3% loss

  3. 5% loss

  4. 3% profit

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

Total CP = 2 × 560 = 1120. Profit on first = 24% of 560 = 134.4. Loss on second = 18% of 560 = 100.8. Net profit = 134.4 - 100.8 = 33.6. Profit % = 33.6/1120 × 100 = 3%. This is a net profit of 3%, matching option D.

Multiple choice

A shopkeeper sold an item at 20% profit and another item at 10% loss. If the cost price of both the items is same, find the overall profit percent? एक दुकानदार ने एक वस्तु को 20% लाभ पर और दूसरी वस्तु को 10% हानि पर बेचा। यदि दोनों वस्तुओं की लागत मूल्य समान है, तो कुल लाभ प्रतिशत ज्ञात कीजिए ?

  1. 7.55%

  2. 6%

  3. 5%

  4. 6.5%

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

Let the cost price of each item be Rs. x. First item: 20% profit means selling price = x + 0.2x = 1.2x. Second item: 10% loss means selling price = x - 0.1x = 0.9x. Total cost price = 2x. Total selling price = 1.2x + 0.9x = 2.1x. Overall profit = 2.1x - 2x = 0.1x. Profit percentage = (Profit/CP) × 100 = (0.1x/2x) × 100 = 5%.

Multiple choice

Suresh purchased 40 dozen notebooks at Rate of 50 Rs per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?
  1. $18.8%$
  2. $20%$
  3. $22.5%$
  4. $25%$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost of 40 dozen at Rs 50/dozen = Rs 2000. 10 dozen sold at 15% profit: SP = 10 × 50 × 1.15 = Rs 575. 30 dozen sold at 25% profit: SP = 30 × 50 × 1.25 = Rs 1875. Total SP = 575 + 1875 = Rs 2450. Profit = 2450 - 2000 = Rs 450. Profit percentage = 450/2000 × 100 = 22.5%.

Multiple choice

What is the profit earned by selling a cell phone for Rs. 6250? Statement 1: The cost price of 5 such cell phones is equal to the selling price of 4 such cell phones. Statement 2: 25% profit is earned by selling each cell phone.

  1. Only 1

  2. Only 2

  3. Both 1 and 2

  4. Either 1 or 2

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

From statement 1: 5 x CP = 4 x 6250, so CP = 5000, profit = 1250. From statement 2: 25% profit means CP = 6250/1.25 = 5000, profit = 1250. Either statement alone is sufficient to calculate the profit as Rs. 1250.

Multiple choice

Manoj; a fruit seller; sells 33 mangoes and gains equals to the selling price of 11 mangoes. Also he sells 66 oranges and gains equal to the cost price of 22 oranges. Manoj gains x% when all the mangoes are sold and gains y% when all the oranges are sold. मनोज; एक फल विक्रेता; 33 आम बेचता है और लाभ 11 आम की बिक्री मूल्य के बराबर है. इसके अलावा वह 66 संतरे बेचता है और लाभ 22 संतरे की लागत मूल्य के बराबर. मनोज लाभ x% जब सभी आम बेच रहे हैं और लाभ y% जब सभी संतरे बेच रहे हैं.

  1. x%>y%

  2. x%<y%

  3. x%=y%

  4. Can’t say कह नहीं सकते।

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

For mangoes: Gain = SP of 11 mangoes on selling 33 mangoes. Gain% = (Gain/CP) × 100. If SP of 1 mango = p, CP of 33 mangoes = c, then 33p - c = 11p, so c = 22p. Gain% = (11p/22p) × 100 = 50%. For oranges: Gain = CP of 22 oranges on selling 66 oranges. If CP of 1 orange = q, SP of 66 = s, then s - 66q = 22q, so s = 88q. Gain% = (22q/66q) × 100 = 33⅓%. Since 50% > 33⅓%, x% > y%.