Top 230 Profit and Loss Questions for Competitive Exams [100%

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Profit and loss questions are pivotal in understanding how the mechanics of business operate. Let’s break it down: If you sell a product for more than its original purchase price, you make a profit. On the contrary, if you sell it for less than what you spent on it, you incur a loss. Now, wouldn’t it be wonderful to have all your profit and loss questions in Hindi or in any other language you prefer? This is precisely where profit and loss aptitude questions come in handy, assisting learners in grasping these fundamental concepts.

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Moreover, as a bonus for our readers, here are some key formulas that come in handy when tackling profit and loss questions:

  1. Profit = Selling Price – Cost Price
  2. Loss = Cost Price – Selling Price
  3. Profit % = (Profit / Cost Price) × 100%
  4. Loss% = (Loss / Cost Price) × 100%
  5. Selling Price = [(100 + Profit%)/100] × Cost Price
  6. Cost Price = [100/(100 + Profit%)] × Selling Price
  7. Selling Price = [(100 – Loss%)/100] × Cost Price
  8. Cost Price = [100/(100 – Loss%)] × Selling Price
  9. Discount = Marked Price – Selling Price

In conclusion, whether you’re diving deep into profit and loss questions with solutions, looking for profit and loss aptitude questions, or even if your focus is primarily on profit and loss questions in Hindi or profit and loss questions in Hindi PDF, this guide aims to be your trusted companion on this journey.

Top 230 Profit and Loss Questions

41. A shopkeeper announced a 30% discount on the marked price of an item. A person bought the item from the shop for Rs. 21,000 after getting the discount, and sold the item to a customer in such a way that he earned a profit of 32% on the marked price. What is the profit (in Rs.) the person earned by selling the item?

एक दुकानदार ने एक वस्तु के अंकित मूल्य पर 30% की छूट की घोषणा की। एक व्यक्ति ने दुकान से छूट मिलने के बाद 21,000 रुपये में एक वस्तु खरीदी, और एक ग्राहक को वस्तु इस प्रकार बेची कि उसने अंकित मूल्य पर 32% लाभ अर्जित किया। वस्तु को बेचकर अर्जित किया गया लाभ (रुपये में) क्या है?


Option”C” is correct

Shopkeeper sold for Rs. 21,000 at 30% discount

Let the Marked price of a item be x

He gave 30% on MP

⇒ Selling price = (100 – 30)% of x

⇒ 70% of x = 21,000

⇒ (70/100) × x = 21,000

⇒ x = 30,000

Marked price of an item is 30,000

Now the person sold the item at 32% profit on MP.

Selling price for the person is,

⇒ (100 + 32)% of MP

⇒ 132% × 30,000

⇒ (132/100) × 30,000

⇒ 39,600 

Selling price of an item for the person is Rs. 39,600

Now profit of the person,

⇒ Selling price  – Cost/Purchased price

⇒ 39,600  – 21,000

⇒ 18,600

∴ The profit of a person is Rs. 18,600. 

42. A shopkeeper buys 50 kg of sugar from a dealer, keeps 5 kg for his own use, and tries to sell the rest at a certain fixed price. He sells 15 kg at that fixed price. Then, he offers a discount of 10% and sells 10 kg at this discounted price. Finally, he offers an additional 25% discount over the discounted price and manages to sell all the sugar he had left with him. He gets a total of Rs.1,875 after selling the sugar and makes an overall profit of 20%. If he could have sold the entire 50 kg sugar at its original fixed price without any discount, then what would have been his profit percentage?

एक दुकानदार एक वितरक से 50 किलो चीनी खरीदता है, अपने स्वयं के उपयोग के लिए 5 किलो रखता है, और शेष को एक निश्चित निर्धारित मूल्य पर बेचने की कोशिश करता है। वह उस तय मूल्य पर 15 किलो बेचता है। फिर, वह 10% की छूट प्रदान करता है और इस रियायती मूल्य पर 10 किलो बेचता है। अंत में, वह रियायती मूल्य पर अतिरिक्त 25% की छूट प्रदान करता है और अपने द्वारा छोड़ी गई सभी चीनी को बेचने का प्रबंधन करता है। चीनी बेचने के बाद उसे कुल 1,875 रुपये मिलते हैं और कुल मिलाकर 20% लाभ होता है। यदि वह बिना किसी छूट के पूरे 50 किलो चीनी को उसके मूल निश्चित मूल्य पर बेच सकता था, तो उसका लाभ प्रतिशत क्या होता?


Option”C” is correct

Let the selling price fixed be x

He selles 15kg at the fixed price = 15 × x

⇒ selling price of 15 kg sugar = 15x

Then he offers 10% discount

After discount price = x – 10%x

⇒ x(1 – 10%) = 9x/10

10 kg sugar sells at discounted price = 10 × 9x/10

⇒ Selling price of 10kg sugar = 9x

Then he offers additional discount 25%

After additional discount price become = 9x/10 – 9x/10 × 25%

⇒ 9x/10(1 – 1/4)              [∵ 25% = 1/4]

⇒ 27x/40

Selling price of remaining sugar = (50 – 5 – 15 – 10) × 27x/40

⇒ 27x/2

Total selling price = 15x + 9x + 27x/2

⇒ 75x/2

Accordingly,

75x/2 = 1875

⇒ x = 50

The immitial fixed price was Rs.50/kg

If he sold 50kg sugar at this price then the total selling price will 50 × 50 = Rs. 2500

He gets Rs. 1875 and gain overall profit 20%

⇒ Cost price of 50 kg sugar = (100/120) × 1875 = 1562.5

If he sell total sugar at the fixed price then profit will (2500 – 1562.5) = 937.5

Then profit should be (937.5/1562.5) × 100 = 60%

∴ Then his profit percentage would have been 60%

43. A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. H mixed all the three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:

एक दुकानदार ने 20 किलो चावल 55 रूपए प्रति किलो, 25 किलो चावल 50 रूपए प्रति किलो और 35 किलो चावल 60 रूपए प्रति किलो में खरीदा। उसने परिवहन पर 150 रूपए का खर्च किया। H ने तीनों प्रकार के चावल को मिलाया और संपूर्ण भण्डार को 62.56 रूपए किलो में बेच दिया। पूरे लेनदेन में उसका लाभ प्रतिशत है:


Option”A” is correct

Cost price of Rice of quality 1 = 55 × 20

⇒ Cost price of Rice of quality 1 = 1100

Cost price of Rice of quality 2 = 50 × 25

⇒ Cost price of Rice of quality 2 = 1250

⇒  Cost price of Rice of quality 3 = 60 × 35

Cost price of Rice of quality 3 = 2100

⇒ Total quantity of mixed rice = 20 + 25 + 35

⇒ Total quantity of mixed rice = 80 kg

Final cost price including transportation = 1100 + 1250 + 2100 + 150

⇒ Final cost price including transportation = 4600

⇒ Cost price of 1 kg of mixed rice = 4600/80

⇒ Cost price of 1 kg of mixed rice = 57.5

⇒ Selling price of 1 kg of mxed rice = 62.56

⇒ Profit = 62.56 – 57.5

⇒ Profit = 5.06

⇒ Profit% = (5.06/57.5) × 100

⇒ Profit% = 8.8%

∴ His profit percent in the entire transaction is 8.8%

44. A shopkeeper bought two computer printers of different companies for Rs. 10,500. By selling one printer at a gain of 20% and the other printer at a loss of 10%, he finds that the selling price of each printer is the same. What is the net profit or loss?

एक दुकानदार ने अलग-अलग कंपनियों से 10,500 रुपये में दो कंप्यूटर प्रिंटर खरीदे। एक प्रिंटर को 20% के लाभ पर और दूसरे प्रिंटर को 10% की हानि पर बेचने पर, वह पाता है कि प्रत्येक प्रिंटर का विक्रय मूल्य समान है। कुल लाभ या हानि क्या है?


Option”C” is correct

Let the cost price of two computers be Rs. x and Rs. y respectively

According to the question,

⇒ x + y = 10,500      —-(I)

First sold at 20% profit

⇒ x + 20% of x

⇒ 120% of x

Other is sold at 10% loss

⇒ y – 10% of y

⇒ 90% of y

Selling price of both computers is same.

⇒ 120% of x = 90% of y

⇒ 120/100 × x = 90/100 × y

⇒ 4x = 3y

⇒ x = 3 and y = 4

Putting the above value in equation (I),

⇒ 3 + 4 = 10,500

⇒ 7 = 10,500

⇒ 1 = 10,500/7

⇒ 1 = 1,500

SP of first computer,

⇒ 120% of x

⇒ 120/100 × 3 × 1,500

⇒ 120 × 3 × 15

⇒ 5,400

SP of second computer,

⇒ 90% of y

⇒ 90/100 × 4 × 1,500

⇒ 90 × 4 × 15

⇒ 5,400

Total SP of both computers,

⇒ 5,400 + 5,400

⇒ 10,800

New gain,

⇒ 10,800 – 10,500

⇒ 300

∴ The net gain is Rs. 300

45. A shopkeeper fixes the marked price of his goods at 25% above the cost price. He sells 60% of the goods at the marked price and the rest at a discount of 40%. What is his gain/loss percentage?

एक दुकानदार क्रय मूल्य से 25% अधिक पर वस्तु का अंकित मूल्य तय करता है। वह अंकित मूल्य पर 60% वस्तुएं बेचता है और बाकी 40% की छूट पर बेचता है। उसका लाभ/हानि प्रतिशत क्या है?


Option”A” is correct

Let, the number of goods = 10

CP of each goods = 100a 

∴ CP of all 10 goods = 10 × 100a 

= 1000a

∵ MP price = 25% of 100a

= 25a

∴ MP = 100a + 25a

= 125a

60% Goods are sold at marked price.

∴ SP of 6 goods = 125a × 6

= 750a

There is a discount of 40% on 40% goods.

Discount amount = 40% of 125a

= (40/100) × 125a

= 50a

∴ SP after discount = 125a – 50a

= 75a

∴ SP of 4 goods = 4 × 75a

= 300a

∴ Total SP of 10 goods = 750a + 300a

= 1050a

∵ The SP is greater than CP, so there is an overall profit.

Profit = SP – CP

= 1050a – 1000a

= 50a

∴ Profit% = (Profit × 100)/CP

= (50a × 100)/1000a

= 5%

46. The marked price of an article is Rs. 600. If a shopkeeper gives two successive discounts of 20% and 10% on the marked price of the article, how much would be the selling price (in Rs.) of the article?

एक वस्तु का अंकित मूल्य 600 रुपये है। यदि दुकानदार वस्तु के अंकित मूल्य पर 20% और 10% की दो क्रमिक छूट देता है, तो वस्तु का विक्रय मूल्य (रु में) कितना होगा?


Option”A” is correct

The marked price of an article = Rs. 600

Two successive discounts = 20%  and  10% respectively

Formula used:

Selling price = Marked price × (100 – x)/100 × (100 – y)/100

Calculations:

Let the marked price be x

After allowing First discount 20% = 600 – 600(20/100)

⇒ 600(1 – 20/100) = 600(100 – 20)/100

⇒ 600 × 80/100 = 480

After allowing Second discount 10% = 480 – 480 × (10/100)

⇒ 480(1 – 10/100) = 480(100 – 10)/100

⇒ 480 × 90/100 = 432

Selling price = 432

 ∴ The Selling price of the article is 432

Shortcut Trick

If two successive discount is a% and b% then sigle discount will be {a + b – (ab/100)}%

 Two successive discount is 20% and 10%

⇒ Overall discount = 20 + 10 – (20 × 10)/100 = 28%

Selling price should be {(100 – 28)/100} × 600 = 432

 ∴ The Selling price of the article is 432

47. The difference between the selling price of some apples, if sold for Rs. 15 per apple instead of Rs. 11 per apple, is Rs. 800. If the cost price of all the apples is Rs. 1,800, find the selling price of 10 apples if the profit earned is 10%.

कुछ सेबों के विक्रय मूल्य के बीच का अंतर 800 रुपये है, यदि प्रति सेब 15 रुपये के बजाय 11 रुपये प्रति सेब बेचा जाता है। यदि सभी सेबों का क्रय मूल्य 1,800, रुपये हो तो 10 सेब का विक्रय मूल्य ज्ञात  कीजिये, यदि अर्जित लाभ 10% है।


Option”B” is correct

Let the number of some apples be x

According to the question,

15x – 11x = 800

⇒ 4x = 800

⇒ x = 800/4

⇒ x = 200

The cost price of each apple = 1800/200

⇒ Rs. 9

The cost price of 10 apples = 10 × 9

⇒ 90

The selling price of 10 apples = 90 × (100 + 10)/100

⇒ 90 × 110/100

⇒ Rs. 99 

∴ The selling price of 10 apples is Rs. 99

48. 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.

चावल की एक निश्चित मात्रा x रुपये पर खरीदी गई थी और y रुपये पर बेची गई थी, जिससे 25% का लाभ अर्जित हुआ था। यदि क्रय मूल्य 20% कम होता और विक्रय मूल्य 58 रुपये कम होता, तो 20% का लाभ अर्जित किया जाता। x का मान ज्ञात कीजिए।


Option”B” is correct

SP = CP  × (100 + P%)

y = x × (125/100)

y= 5x/4      —-(1)

The new cost price = 80% of x

The new selling price = y – 58

Then, (y – 58) = 80% × x × (100 + 20)%      —-(2)

Putting (1) in (2), 

5x/4 – 58 = 4x/5 × 6/5

Solving the equation we get,

29x/100 = 58

Or, x = Rs 200

∴ The cost price of the article is Rs 200. 

49. A dealer sells an article by allowing a 20% discount on its marked price and gains 25%. If the cost price of the article is increased by 10%, how much discount percentage should he allow now on the same marked price so as to earn the same percentage of profit as before?

एक डीलर अंकित मूल्य पर 20% छूट देकर एक वस्तु बेचता है और 25% लाभ प्राप्त करता है। यदि वस्तु के क्रय मूल्य में 10% की वृद्धि की जाती है, तो उसे पहले के जितना लाभ प्रतिशत अर्जित करने के लिए समान अंकित मूल्य पर कितनी प्रतिशत छूट देनी चाहिए?


Option”D” is correct

Let cost price of article be Rs.100.

Selling price = 100 × 125/100 = Rs.125

Marked price = 125 × 100/80 = Rs.156.25

New cost price = 100 × 110/100 = Rs.110

Profit to be earn = 125 – 100 = Rs.25

Selling price = 110 × 125/100 = Rs.137.5

Let discount percentage given be a%.

⇒ 137.5 = 156.25 × (100 – a)/100

⇒ a = 12

∴ He should give 12% discount on increased cost price.

50. Three merchants, A, B and C, sell sewing machines at the same list price. Merchant A allows two successive discounts of 30% and 16%; merchant B allows two successive discounts of 20% and 26%, and merchant C allows two successive discounts of 25% and 20%. Which merchant should a customer choose to get the maximum discount?

तीन व्यापारी, A, B और C, एक ही सूची मूल्य पर सिलाई मशीनें बेचते हैं। व्यापारी A 30% और 16% की दो क्रमिक छूट की अनुमति देता है; व्यापारी B 20% और 26% की दो क्रमिक छूट देता है, और व्यापारी C 25% और 20% की दो क्रमिक छूट देता है। अधिकतम छूट प्राप्त करने के लिए ग्राहक को किस व्यापारी को चुनना चाहिए?


Option”B” is correct

Let the list price of three merchants A, B and C be Rs. x

The selling price of the merchant A = x × [(100 – 30)/100] × [(100 – 16)/100] 

⇒ x × [70/100] × [84/100]

⇒ x × 0.7 × 0.84

⇒ x × 0.588

⇒ Rs. 0.588x

The selling price of the merchant B = x × [(100 – 20)/100] × [(100 – 26)/100] 

⇒ x × [80/100] × [74/100]

⇒ x × 0.8 × 0.74

⇒ x × 0.592

⇒ Rs. 0.592x

The selling price of the merchant C = x × [(100 – 25)/100] × [(100 – 20)/100] 

⇒ x × [75/100] × [80/100]

⇒ x × 0.75 × 0.80

⇒ x × 0.6

⇒ Rs. 0.6x

From the above, we can see the merchant A selling price is less than both B and C.

So, for a customer, buying an article from merchant A gives the maximum discount.

∴ A customer will choose merchant A to get the maximum discount 

Alternate Method

Calculation:

Let the list price of three merchants A, B and C be 100 unit

The selling price of the merchant A = 100 × [(100 – 30)/100] × [(100 – 16)/100] 

⇒ 100 × [70/100] × [84/100]

⇒ 100 × 0.7 × 0.84

⇒ 100 × 0.588

⇒ 58.8 unit

The selling price of the merchant B = 100 × [(100 – 20)/100] × [(100 – 26)/100] 

⇒ 100 × [80/100] × [74/100]

⇒ 100 × 0.8 × 0.74

⇒ 100 × 0.592

⇒ 59.2 unit

The selling price of the merchant C = 100 × [(100 – 25)/100] × [(100 – 20)/100] 

⇒ 100 × [75/100] × [80/100]

⇒ 100 × 0.75 × 0.80

⇒ 100 × 0.6

⇒ 60 unit

From the above, we can see the merchant A selling price is less than both B and C.

So, for a customer, buying an article from merchant A gives the maximum discount.

∴ A customer will choose merchant A to get the maximum discount