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

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Top 230 Profit and Loss Questions

221. Cost Price of an article A is Rs 1000 and Cost Price of a article B is Rs 900. If A is sold at P% profit and B is sold at (P + 10)% profit and the difference between the S.P of article A and article B is Rs 25. Find the value of P.

एक वस्तु A की लागत मूल्य 1000 रुपये है और एक वस्तु B की लागत मूल्य 900 रुपये है। यदि A को P% लाभ पर बेचा जाता है और B को (P + 10)% लाभ पर बेचा जाता है और वस्तु A के विक्रय मूल्य और वस्तु B के विक्रय मूल्य के बीच अंतर 25 रु है। P का मान ज्ञात कीजिए?

A. 10
B. 15
C. 25
D. 30
E. None of these

Option “B” is correct.

According to question,

1000 * (100 + P)/100 – 900 * (100 + P + 10)/100 = 25

10 * (100 + P) – 9 * (110 + P) = 25

1000 + 10P – 990 – 9P = 25

10 + P = 25

P = 25 – 10= 15

222. Sonu purchased watch for Rs.x and sold it for Rs.y while he gets the loss 15%. If he bought it for Rs.4x/5 and sold it Rs.(y + 1100) while he gets the profit of 20%, then find the cost price of watch?

सोनू ने x रूपये में घड़ी खरीदी और इसको y रुपये में विक्रय किया, उस दौरान वह 15% की हानि को प्राप्त करता है। यदि उसने इसे 4x/5 रुपये में खरीदा और इसको (y + 1100) रुपये में विक्रय किया, जिस दौरान वह 20% के लाभ को प्राप्त करता है, फिर घड़ी के लागत मूल्य को ज्ञात कीजिए?

A. Rs.10000
B. Rs.12000
C. Rs.15000
D. Rs.18000
E. None of these

Option “A” is correct.

CP = x

4x/5 * 120/100 – x * 85/100 = (y + 1100) – y

11x/100 = 1100

x = 10000

223. If the selling price of the Radio is Rs.x, the shopkeeper gets a loss of 16%. If the shopkeeper sold it for Rs.(x + 216), then he earned a profit of 8%. Find the cost price of the Radio?

यदि रेडियो का विक्रय मूल्य x रु है, तो दुकानदार को 16% की हानि होती है। यदि दुकानदार ने इसे (x + 216) रुपये में बेचा, तो उसे 8% का लाभ अर्जित हुआ हैं । रेडियो का क्रय मूल्य ज्ञात कीजिये?

A. Rs.900
B. Rs.960
C. Rs.1000
D. Rs.1020
E. Rs.880

Option “A” is correct.

SP = x

CP * 84/100 = x

CP = 25x/21

New SP = (x + 216)

25x/21 * 108/100 = x + 216

36x = 28x + 6048

x = 756

CP = 25/21 * 756 = Rs. 900

224. The cost price of the battery is Rs.(z+225) and the cost price of the charger is Rs.(z-225). Battery sold at a loss of 20% and Charger sold at a profit of 40%. If the selling price of the charger is Rs.120 more than that of the battery, then find the cost price of the battery?

बैटरी की लागत मूल्य (z+225) रुपये है और चार्जर की लागत मूल्य (z-225) रुपये है। बैटरी 20% की हानि पर बेची गई और चार्जर 40% के लाभ पर बेचा गया। यदि चार्जर का विक्रय मूल्य, बैटरी के विक्रय मूल्य से 120 रु अधिक है, तो बैटरी का क्रय मूल्य ज्ञात कीजिए?

A. Rs.750
B. Rs.1250
C. Rs.800
D. Rs.1000
E. None of these

Option “B” is correct.

Let CP of battery=5x

SP of battery=4x

Let CP of chargers=5y

SP of chargers=7y

7y-4x=120 — (1)

5x-5y=450 — (2)

(1)*5-(2)*7

35y-20x=600

35x-35y=3150

15x=3750

x=250

CP of battery=5*250=Rs.1250

225. Ramesh has x number of cycles. Ramesh sells 20% of the cycle to Arun and he sells 80% of the remaining cycles to Adhi. Still he has 48 cycles and Vimal has (x + 20) shirts. If Vimal sold each shirt at Rs.150, then find the total revenue collected by Vimal?

रमेश के पास साइकिल की x संख्या है। रमेश साइकिल का 20% अरुण को बेचता है और वह शेष साइकिल का 80% आदि को बेचता है। अभी भी उसके पास 48 साइकिलें हैं और विमल के पास (x + 20) कमीजें हैं। यदि विमल ने प्रत्येक कमीज को 150 रुपये में बेचा, तो विमल द्वारा एकत्रित कुल राजस्व ज्ञात कीजिए?

A. Rs.42000
B. Rs.44000
C. Rs.45000
D. Rs.48000
E. None of these

Option “D” is correct.

Total cycle = x

Number of cycle sold to Arun = 20/100 * x

Number of cycle sold to Adhi = 80/100 * x * 80/100 = 64x/100

80/100 * x * 20/100 = 48

x = 300

Total revenue collected by Vimal = (300 + 20) * 150 = Rs.48000

226. A man bought 10 pens for Rs.x and 15 pencils for Rs. (x – 50). He sold each pen and pencil at a profit of 25% and 20%. If the total selling price of all pens and pencils for Rs. (2x + 30), then find the cost price of each pen?

एक आदमी ने x रुपये में 10 पेन और (x – 50) रुपये में 15 पेंसिल खरीदीं। उसने प्रत्येक पेन और पेंसिल को 25% और 20% के लाभ पर बेचा। यदि सभी पेन और पेंसिल का कुल विक्रय मूल्य (2x + 30) रुपये है, तो प्रत्येक पेन का क्रय मूल्य ज्ञात कीजिए?

A. Rs.15
B. Rs.20
C. Rs.10
D. Rs.18
E. None of these

Option “B” is correct.

(10x/10) * 125/100 + 15/15(x – 50) * 120/100 = 2x + 30

x * 125/100 + (x – 50) * 120/100 = 2x + 30

5x/4 + (x – 50) * 6/5 = 2x + 30

5x/4 + (6x – 300)/5 = 2x + 30

25x + 24x – 1200 = 40x + 600

9x = 1800

x = 200

Cost price of each pen = 200/10 = Rs.20

227. A man bought a calculator for Rs.x and also bought a book for Rs.3x/2 and he sold the calculator at a profit of (y + 5)% and the book at a profit of y%. If the selling price of the book and the calculator is Rs.9x/5 and Rs.1250 respectively, find the cost price of the calculator.

एक आदमी ने x रुपये में एक कैलकुलेटर खरीदा और 3x/2 रुपये में एक किताब भी खरीदी और उसने कैलकुलेटर को (y + 5)% के लाभ पर और किताब को y% के लाभ पर बेच दिया। यदि किताब और कैलकुलेटर का विक्रय मूल्य क्रमशः 9x/5 और 1250 रुपये है, तो कैलकुलेटर का लागत मूल्य ज्ञात कीजिए।

A. Rs.1200
B. Rs.1000
C. Rs.1500
D. Rs.1800
E. None of these

Option “B” is correct.

3x/2 * (100 + y)/100 = 9x/5

5 * (100 + y) = 600

500 + 5y = 600

5y = 100

y = 20

x * (100 + 20 + 5)/100 = 1250

x * 125/100 = 1250

x = Rs.1000

228. A man sold an article after giving two successive discounts of 20% and (x +5)%and accrued a loss of (x + 8)%. If the man had marked the price of the article by 20%, then find the value of x?

एक आदमी ने 20% और (x +5)% की क्रमागत दो छूट देने के बाद एक वस्तु बेची और (x + 8)% की हानि अर्जित की। यदि व्यक्ति ने वस्तु का मूल्य 20% अंकित किया था, तो x का मान ज्ञात कीजिए।

A. 24
B. 28
C. 20
D. 25
E. None of these

Option “C” is correct.

Let the cost price of the article be Rs.y.

y * (100 – x – 8)/100 = y * 120/100 * 80/100 * (100 – x – 5)/100

(92 – x)/100 = 6/5 * 4/5 * (95 – x)/100

92 – x = 24/25 * (95 – x)

2300 – 25x = 2280 – 24x

x = 20

229. A shopkeeper bought a handbag and a headset for 800 and Rs.400. If he sold the handbag at a profit of R% and the headset sold at a profit of (R+5)%, then he earns an overall profit of Rs.200. Find the value of R?

एक दुकानदार ने 800 और 400 रुपये में एक हैंडबैग और हेडसेट खरीदा। यदि वह हैंडबैग को R% के लाभ पर बेचता है और हेडसेट (R+5)% के लाभ पर बेचा जाता है, तो उसे कुल मिलाकर 200 रुपये का लाभ होता है। R का मान ज्ञात कीजिए?

A. 30
B. 10
C. 15
D. 25
E. 20

Option “C” is correct.

800 * R/100 + 400 * (R + 5)/100 = 200

8R + 4R + 20 = 200

12R = 180

R = 15

230. An item is sold at Rs. (x+40) and makes a profit of 20%. If an item is sold at Rs.10 more, then there will be a 25% profit. Find the profit percentage, when an item is sold at Rs. (x+80)?

एक वस्तु को (x+40) रुपये में बेचा जाता है और 20% का लाभ कमाता है। यदि कोई वस्तु 10 रुपये अधिक पर बेची जाती है, तो 25% लाभ होगा। लाभ प्रतिशत ज्ञात कीजिए, जब कोई वस्तु (x+80) रुपये पर बेची जाती है?

A. 35%
B. 40%
C. 55%
D. 30%
E. None of these

Option “B” is correct.

So, 5%=10, 100%=200

So, the cost price of the item is 200.

Selling price of item when 20% profit is 200*120/100=240

So, value of x=240-40=200

Profit percentage when item sold at (x+80) or Rs.280 is =[80/200]*100=40%

 

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