Mathematics: Profitloss Type1 ke liye free mock test: 17 questions, timer, negative marking aur explanation ke saath. Koi login nahi, koi payment nahi — turant shuru karein.
Mathematics: Profitloss Type1 ke liye ye 17 questions ka practice set General Knowledge pattern par banaya gaya hai. Test me 45 second per question ka timer hai aur har galat answer par 0.25 marks kate jaate hain — bilkul asli exam jaisa. Submit karne ke baad aapko exact score, accuracy aur har question ka explanation milta hai. Bihar ke competitive exams (BPSC, BSSC, Bihar Police, BTSC) ki tayari karne wale students ke liye.
Neeche is set ke kuch questions hain — inhi par aapka timed test banega. Answer dekhne ke liye “Answer” par click karein.
A man sells a cow for ₹22,000 and gains 10%. At what price should he sell the same cow, in order to gain 14%?
एक व्यक्ति एक गाय को ₹22,000 में बेचता है और 10% का लाभ प्राप्त करता है। 14% का लाभ प्राप्त करने के लिए उसे उसी गाय को किस मूल्य पर बेचना चाहिए?
(A) (a) ₹23,000
(B) (b) ₹23,800
(C) (c) ₹22,800
(D) (d) ₹22,900
✅ Answer & Explanation
Sahi jawab: C) (c) ₹22,800Explanation: Method 1 (Ratio Method): SP1 : SP2 = (100 + 10) : (100 + 14) = 110 : 114 = 55 : 57 55 units = 22,000 ==> 1 unit = 400 SP2 = 57 units = 57 * 400 = ₹22,800. Atah sahi vikalp (c) ₹22,800 hai. Method 2 (Unitary Percentage Method): 110% = 22,000 1% = 200 114% = 114 * 200 = ₹22,800. Atah sahi uttar (c) hai.
By selling an article for ₹2,200, a profit of 10% is earned. If the same article is sold for ₹2,600, then what will be the gain percentage?
किसी वस्तु को ₹2,200 में बेचने पर 10% का लाभ प्राप्त होता है। यदि उसी वस्तु को ₹2,600 में बेचा जाए, तो लाभ प्रतिशत क्या होगा?
(A) (a) 20%
(B) (b) 15%
(C) (c) 37%
(D) (d) 30%
✅ Answer & Explanation
Sahi jawab: D) (d) 30%Explanation: Method 1 (Ratio Method): 10% profit = 1/10 ==> CP : SP1 = 10 : 11 11 units = 2200 ==> 1 unit = 200 CP = 10 units = 2000 Now, CP : SP2 = 2000 : 2600 = 10 : 13 Profit = 13 - 10 = 3 units Profit% = (3 / 10) * 100% = 30%. Atah sahi vikalp (d) 30% hai. Method 2 (Direct Value to % Scaling): ₹2200 = 110% ₹1 = (110 / 2200)% = 1/20% ₹2600 = 2600 * (1/20)% = 130% Profit% = 130% - 100% = 30%. Atah sahi uttar (d) hai.
A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?
एक व्यक्ति को एक वस्तु ₹144 में बेचने पर 28% की हानि होती है। यदि वह इसे ₹288 में बेचता है, तो उसका लाभ/हानि प्रतिशत क्या होगा?
(A) (a) Gain, 41%
(B) (b) Loss, 43%
(C) (c) Gain, 44%
(D) (d) Loss, 46%
✅ Answer & Explanation
Sahi jawab: C) (c) Gain, 44%Explanation: Method 1 (Ratio Method): 28% loss = 7/25 ==> CP : SP1 = 25 : 18 18 units = 144 ==> 1 unit = 8 CP = 25 * 8 = 200 Now, CP : SP2 = 200 : 288 = 25 : 36 Profit = 36 - 25 = 11 units Profit% = (11 / 25) * 100% = 44% Gain. Atah sahi vikalp (c) Gain, 44% hai. Method 2 (Direct Percentage Scaling): SP1 = 100% - 28% = 72% ₹144 = 72% Since SP2 = ₹288 (double of ₹144): SP2% = 72% * 2 = 144% Profit% = 144% - 100% = 44% Gain. Atah sahi uttar (c) hai.
A pen was sold for ₹166.44 with a profit of 14%. If it were sold for ₹154.76, then what would have been the percentage of profit or loss?
एक पेन ₹166.44 में 14% के लाभ पर बेचा गया। यदि इसे ₹154.76 में बेचा जाता, तो लाभ या हानि का प्रतिशत क्या होता?
(A) (a) 5% loss
(B) (b) 6% profit
(C) (c) 5% profit
(D) (d) 6% loss
✅ Answer & Explanation
Sahi jawab: B) (b) 6% profitExplanation: Method 1 (Ratio Method): 14% profit = 7/50 ==> CP : SP1 = 50 : 57 57 units = 166.44 ==> 1 unit = 2.92 CP = 50 * 2.92 = 146 Now, CP : SP2 = 146 : 154.76 = 14600 : 15476 = 50 : 53 Profit = 53 - 50 = 3 units Profit% = (3 / 50) * 100% = 6% profit. Atah sahi vikalp (b) 6% profit hai. Method 2 (Unitary Percentage Method): ₹166.44 = 114% ₹154.76 = (114 / 166.44) * 154.76 = 106% Profit% = 106% - 100% = 6% profit. Atah sahi uttar (b) hai.
If I gain 124% by selling an item for ₹1,232, then what would be my gain or loss percentage if I sell it for ₹572?
यदि किसी वस्तु को ₹1,232 में बेचने पर मुझे 124% का लाभ होता है, तो यदि मैं इसे ₹572 में बेचता हूँ तो मेरा लाभ या हानि प्रतिशत क्या होगा?
(A) (a) 6% Gain
(B) (b) 6% Loss
(C) (c) 4% Loss
(D) (d) 4% Gain
✅ Answer & Explanation
Sahi jawab: D) (d) 4% GainExplanation: Method 1 (Ratio Method): SP1 : SP2 = 1232 : 572 = 28 : 13 SP1 represents (100 + 124)% = 224% 28 units = 224% ==> 1 unit = 8% SP2 = 13 units = 13 * 8% = 104% Gain% = 104% - 100% = 4% Gain. Atah sahi vikalp (d) 4% Gain hai. Method 2 (Direct Fractional CP Method): CP = 1232 * (100 / 224) = 550 Gain = 572 - 550 = 22 Gain% = (22 / 550) * 100% = 4% Gain. Atah sahi uttar (d) hai.
A seller decreased the selling price of each item from ₹5,000 to ₹4,680, by which his loss percentage increased by 4%. If he has to get 4% profit, then the selling price of the item should be:
एक विक्रेता ने प्रत्येक वस्तु का विक्रय मूल्य ₹5,000 से घटाकर ₹4,680 कर दिया, जिससे उसका हानि प्रतिशत 4% बढ़ गया। यदि उसे 4% लाभ प्राप्त करना है, तो वस्तु का विक्रय मूल्य होना चाहिए:
(A) (a) ₹8,320
(B) (b) ₹7,280
(C) (c) ₹7,800
(D) (d) ₹8,840
✅ Answer & Explanation
Sahi jawab: A) (a) ₹8,320Explanation: Method 1 (Ratio Method): Difference in SP = 5000 - 4680 = 320 Change in % : Required SP% = 4% : (100 + 4)% = 4 : 104 = 1 : 26 1 unit = 320 Required SP = 26 units = 26 * 320 = ₹8,320. Atah sahi vikalp (a) ₹8,320 hai. Method 2 (100-Base Method): 4% of CP = 320 ==> 1% = 80 CP (100%) = 8,000 SP at 4% profit = 8000 * 1.04 = ₹8,320. Atah sahi uttar (a) hai.
Samreen sells a keyboard for ₹1,260 at a profit of 25%, and another keyboard for ₹1,440 at a loss of 10%. What is her total gain or loss:
समरीन एक कीबोर्ड ₹1,260 में 25% के लाभ पर बेचती है, और दूसरा कीबोर्ड ₹1,440 में 10% की हानि पर बेचती है। उसका कुल लाभ या हानि क्या है:
(A) (a) 3\frac{86}{163}% Loss
(B) (b) 3\frac{11}{27}% Gain
(C) (c) 3\frac{11}{27}% Loss
(D) (d) 3\frac{86}{163}% Gain
✅ Answer & Explanation
Sahi jawab: D) (d) 3\frac{86}{163}% GainExplanation: Method 1 (Ratio Method): Item 1 (25% profit = 1/4): CP : SP = 4 : 5 5 units = 1260 ==> 1 unit = 252 ==> CP1 = 4 * 252 = 1008 Item 2 (10% loss = 1/10): CP : SP = 10 : 9 9 units = 1440 ==> 1 unit = 160 ==> CP2 = 10 * 160 = 1600 Total CP = 1008 + 1600 = 2608 Total SP = 1260 + 1440 = 2700 Profit = 2700 - 2608 = 92 Profit% = (92 / 2608) * 100% = (23 / 652) * 100% = 575/163% = 3\frac{86}{163}% Gain. Atah sahi vikalp (d) 3\frac{86}{163}% Gain hai. Method 2 (Direct Profit/Loss Balance Method): Profit 1 = 1260 * (1/5) = +252 Loss 2 = 1440 * (1/9) = -160 Net Profit = 252 - 160 = +92 Total CP = (1260 - 252) + (1440 + 160) = 1008 + 1600 = 2608 Gain% = (92 / 2608) * 100% = 3\frac{86}{163}% Gain. Atah sahi uttar (d) hai.
A mobile phone dealer buys a phone for ₹10,000 and sells it for ₹12,000. Later, he realizes that he could have sold it for ₹13,000. What is the percentage loss that he incurs?
एक मोबाइल फोन डीलर ₹10,000 में एक फोन खरीदता है और इसे ₹12,000 में बेचता है। बाद में, उसे एहसास होता है कि वह इसे ₹13,000 में बेच सकता था। उसे कितने प्रतिशत की हानि हुई?
(A) (a) 10%
(B) (b) 20%
(C) (c) 15%
(D) (d) 25%
✅ Answer & Explanation
Sahi jawab: A) (a) 10%Explanation: Method 1 (Ratio Method): CP : SP : New SP = 10,000 : 12,000 : 13,000 Loss = 13,000 - 12,000 = 1,000 Loss% = (1,000 / 10,000) * 100% = 10%. Atah sahi vikalp (a) 10% hai. Method 2 (100-Base Method): CP = 100 SP = 120, New SP = 130 Difference = 130 - 120 = 10 Loss% = 10%. Atah sahi uttar (a) hai.
Manjeet bought a second-hand motorbike for ₹22,000 and spent ₹3,000 on its overhauling and maintenance. He then sold it with 12% profit. If he had sold it for ₹500 less, then what would have been his profit percentage?
मनजीत ने ₹22,000 में एक पुरानी मोटरबाइक खरीदी और उसकी मरम्मत और रखरखाव पर ₹3,000 खर्च किए। फिर उसने इसे 12% लाभ पर बेच दिया। यदि उसने इसे ₹500 कम में बेचा होता, तो उसका लाभ प्रतिशत क्या होता?
(A) (a) 10%
(B) (b) 10.5%
(C) (c) 8%
(D) (d) 5%
✅ Answer & Explanation
Sahi jawab: A) (a) 10%Explanation: Method 1 (Ratio Method): 12% = +3/25 Total CP = 22000 + 3000 = ₹25,000 CP : SP = 25 : 28 25 -> (x1000) -> 25000 28 -> (x1000) -> 28000 When sold at ₹500 less: New SP = 28000 - 500 = ₹27,500 New CP : New SP = 25000 : 27500 = 10 : 11 Profit% = (1 / 10) * 100% = 10%. Atah sahi vikalp (a) 10% hai. Method 2 (Percentage Shift Method): Total CP = ₹25,000 500 as % of CP = (500 / 25000) * 100% = 2% New Profit% = 12% - 2% = 10%. Atah sahi uttar (a) hai.
A merchant sells 195 kg of wheat for ₹10,260 at a profit of ₹4.50 per kg of wheat. What is the cost price (in ₹, to the nearest integer) of 15 kg of wheat?
एक व्यापारी 195 किग्रा गेहूं ₹10,260 में ₹4.50 प्रति किग्रा के लाभ पर बेचता है। 15 किग्रा गेहूं का क्रय मूल्य (₹ में, निकटतम पूर्णांक तक) क्या है?
(A) (a) 722
(B) (b) 682
(C) (c) 595
(D) (d) 750
✅ Answer & Explanation
Sahi jawab: A) (a) 722Explanation: Method 1 (Ratio Method): Quantity ratio = 15 : 195 = 1 : 13 SP of 15 kg = 10260 / 13 = ₹789.23 Profit on 15 kg = 15 * 4.50 = ₹67.50 CP of 15 kg = 789.23 - 67.50 = ₹721.73 ≈ ₹722. Atah sahi vikalp (a) 722 hai. Method 2 (Per Unit Method): SP per kg = 10260 / 195 = ₹52.615 CP per kg = 52.615 - 4.50 = ₹48.115 CP of 15 kg = 15 * 48.115 ≈ ₹721.73 ≈ ₹722. Atah sahi uttar (a) hai.
A shopkeeper bought 288 oranges for ₹115.20. He sold 50 of them at 70 paise each and the remaining at ₹46.20. Find his profit or loss.
एक दुकानदार ने ₹115.20 में 288 संतरे खरीदे। उसने उनमें से 50 संतरे 70 पैसे प्रति संतरे की दर से बेचे और शेष संतरे ₹46.20 में बेचे। उसका लाभ या हानि ज्ञात कीजिए।
(A) (a) Profit, ₹25
(B) (b) Loss, ₹34
(C) (c) Profit, ₹37
(D) (d) Loss, ₹36
✅ Answer & Explanation
Sahi jawab: B) (b) Loss, ₹34Explanation: Method 1 (Ratio Method): CP = ₹115.20 SP1 = 50 * 0.70 = ₹35 Total SP = 35 + 46.20 = ₹81.20 CP : SP = 115.20 : 81.20 = 288 : 203 Loss in units = 288 - 203 = 85 units Since 288 units = ₹115.20 ==> 1 unit = ₹0.40 Loss = 85 * 0.40 = ₹34. Atah sahi vikalp (b) Loss, ₹34 hai. Method 2 (Direct Value Subtraction Method): Total SP = (50 * 0.70) + 46.20 = ₹81.20 Loss = CP - SP = 115.20 - 81.20 = ₹34. Atah sahi uttar (b) hai.
A shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn 20%?
एक दुकानदार ₹32,400 में 1800 किग्रा गेहूं खरीदता है। यदि बारिश के कारण इसमें से 20% गेहूं खराब हो जाता है, तो 20% लाभ कमाने के लिए उसे शेष गेहूं को किस दर (₹/किग्रा) पर बेचना चाहिए?
(A) (a) 29
(B) (b) 26
(C) (c) 25
(D) (d) 27
✅ Answer & Explanation
Sahi jawab: D) (d) 27Explanation: Method 1 (Ratio Method): CP per kg = 32400 / 1800 = ₹18/kg Usable quantity ratio = 80% = 4/5 Target revenue ratio = 120% = 6/5 Price multiplier = (6/5) / (4/5) = 6/4 = 3/2 Selling rate = 18 * (3/2) = ₹27/kg. Atah sahi vikalp (d) 27 hai. Method 2 (Total SP to Usable Quantity Method): Total required SP = 32400 * 1.20 = ₹38,880 Usable wheat = 1800 * 0.80 = 1440 kg Selling rate = 38880 / 1440 = ₹27/kg. Atah sahi uttar (d) hai.
A trader buys 500 kg cotton for ₹8,000. If 10% of this cotton is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn a 20% profit?
एक व्यापारी ₹8,000 में 500 किग्रा कपास खरीदता है। यदि बारिश के कारण इसमें से 10% कपास खराब हो जाती है, तो 20% लाभ कमाने के लिए उसे शेष कपास को किस दर (₹/किग्रा) पर बेचना चाहिए?
(A) (a) 21\frac{1}{3}
(B) (b) 22\frac{1}{3}
(C) (c) 25\frac{1}{3}
(D) (d) 23\frac{1}{3}
✅ Answer & Explanation
Sahi jawab: A) (a) 21\frac{1}{3}Explanation: Method 1 (Ratio Method): CP per kg = 8000 / 500 = ₹16/kg Available quantity ratio = 90% = 9/10 Target revenue ratio = 120% = 6/5 Selling multiplier = (6/5) / (9/10) = 4/3 Rate per kg = 16 * (4/3) = 64/3 = 21\frac{1}{3} ₹/kg. Atah sahi vikalp (a) 21 1/3 hai. Method 2 (Total SP to Usable Quantity Method): Total required SP = 8000 * 1.20 = ₹9,600 Usable cotton = 500 * 0.90 = 450 kg Rate per kg = 9600 / 450 = 64/3 = 21\frac{1}{3} ₹/kg. Atah sahi uttar (a) hai.
A retailer purchased a batch of goods for ₹5,000. Due to a manufacturing defect, 5% of the goods were damaged. If the retailer wants to make a profit of 20% on the remaining goods, at what price should the undamaged goods be sold?
एक खुदरा विक्रेता ने ₹5,000 में सामान का एक बैच खरीदा। निर्माण दोष के कारण, 5% सामान क्षतिग्रस्त हो गया। यदि खुदरा विक्रेता शेष सामान पर 20% का लाभ कमाना चाहता है, तो बिना क्षतिग्रस्त सामान को किस मूल्य पर बेचा जाना चाहिए?
(A) (a) ₹5,700
(B) (b) ₹5,800
(C) (c) ₹6,000
(D) (d) ₹5,900
✅ Answer & Explanation
Sahi jawab: A) (a) ₹5,700Explanation: Method 1 (Ratio Method): Total goods ratio = 20 : 19 Cost of undamaged goods = 5000 * (19 / 20) = ₹4,750 20% profit = 1/5 ==> CP : SP = 5 : 6 5 units = 4750 ==> 1 unit = 950 SP = 6 units = 6 * 950 = ₹5,700. Atah sahi vikalp (a) ₹5,700 hai. Method 2 (Direct Multiplier Method): SP = 5000 * (1 - 0.05) * (1 + 0.20) = 5000 * 0.95 * 1.20 = ₹5,700. Atah sahi uttar (a) hai.
A grocer purchased 10 kg rice for ₹700. He spends some amount on transportation and then sells it for ₹1,400. If the percentage of profit made by the grocer is 30%, then what is the amount (in ₹) he spends on transportation? (Round off to the nearest integer)
एक पंसारी ने ₹700 में 10 किग्रा चावल खरीदा। वह परिवहन पर कुछ राशि खर्च करता है और फिर इसे ₹1,400 में बेचता है। यदि पंसारी द्वारा अर्जित लाभ का प्रतिशत 30% है, तो वह परिवहन पर कितनी राशि (₹ में) खर्च करता है? (निकटतम पूर्णांक तक पूर्णांकित)
(A) (a) ₹377
(B) (b) ₹380
(C) (c) ₹365
(D) (d) ₹390
✅ Answer & Explanation
Sahi jawab: A) (a) ₹377Explanation: Method 1 (Ratio Method): 30% profit = 3/10 ==> Total CP : SP = 10 : 13 13 units = 1400 ==> 1 unit = 1400 / 13 Total CP = 10 units = (1400 / 13) * 10 = 14000 / 13 ≈ ₹1,076.92 Transportation cost = Total CP - Rice cost = 1076.92 - 700 = ₹376.92 ≈ ₹377. Atah sahi vikalp (a) ₹377 hai. Method 2 (100-Base Method): SP = 130% = 1400 1% = 1400 / 130 Total CP (100%) = (1400 / 130) * 100 ≈ ₹1,076.92 Transportation = 1076.92 - 700 ≈ ₹377. Atah sahi uttar (a) hai.
A vendor buys 20 laptop bags for ₹13,000 and sells them at 15 for ₹10,125. How many laptop bags should be bought and sold to earn a profit of ₹3,225?
एक विक्रेता ₹13,000 में 20 लैपटॉप बैग खरीदता है और उन्हें ₹10,125 में 15 की दर से बेचता है। ₹3,225 का लाभ कमाने के लिए कितने लैपटॉप बैग खरीदे और बेचे जाने चाहिए?
(A) (a) 123
(B) (b) 129
(C) (c) 120
(D) (d) 127
✅ Answer & Explanation
Sahi jawab: B) (b) 129Explanation: Method 1 (Ratio Method): Let number of bags = LCM(20, 15) = 60 units. CP of 60 bags = (13000 / 20) * 60 = 13000 * 3 = ₹39,000. SP of 60 bags = (10125 / 15) * 60 = 10125 * 4 = ₹40,500. CP : SP = 39000 : 40500 = 26 : 27. Profit on 60 bags = 40,500 - 39,000 = ₹1,500. Profit ratio to bags = 1500 : 60 = 25 : 1 (i.e., ₹25 profit on 1 bag). Required number of bags for ₹3,225 profit = 3225 / 25 = 129. Atah sahi vikalp (b) 129 hai. Method 2 (Per Unit Method): CP per bag = 13000 / 20 = ₹650. SP per bag = 10125 / 15 = ₹675. Profit per bag = 675 - 650 = ₹25. Number of bags = 3225 / 25 = 129. Atah sahi uttar (b) hai.
A shopkeeper bought 95 dozen oranges at ₹4.50 each. 7 dozen oranges were rotten and so were discarded. He sold the remaining oranges at ₹78 per dozen. What is his profit or loss percent (to the nearest integer)?
एक दुकानदार ने ₹4.50 प्रति संतरे की दर से 95 दर्जन संतरे खरीदे। 7 दर्जन संतरे सड़ गए और इसलिए उन्हें फेंक दिया गया। उसने शेष संतरे ₹78 प्रति दर्जन की दर से बेचे। उसका लाभ या हानि प्रतिशत (निकटतम पूर्णांक तक) क्या है?
(A) (a) Loss, 45%
(B) (b) Profit, 34%
(C) (c) Loss, 34%
(D) (d) Profit, 45%
✅ Answer & Explanation
Sahi jawab: B) (b) Profit, 34%Explanation: Method 1 (Ratio Method): CP per dozen = 12 * 4.50 = ₹54. Total CP = 95 * 54 = ₹5,130. Remaining dozens = 95 - 7 = 88 dozen. Total SP = 88 * 78 = ₹6,864. Ratio CP : SP = 5130 : 6864 = 855 : 1144. Profit = 1144 - 855 = 289 units. Profit % = (289 / 855) * 100% = (1734 / 5130) * 100% = (1734 / 51.3)% ≈ 33.79% ≈ 34% Profit. Atah sahi vikalp (b) Profit, 34% hai. Method 2 (100-Base / Percentage Method): Total CP = 95 * 12 * 4.50 = ₹5,130. Total SP = (95 - 7) * 78 = 88 * 78 = ₹6,864. Profit = 6864 - 5130 = ₹1,734. Profit % = (1734 / 5130) * 100% ≈ 33.8% ≈ 34% Profit. Atah sahi uttar (b) hai.