# Profit and Loss- Aptitude Questions and Answers - in Hindi

 A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart? एक आदमी ने घोड़ा और एक गाड़ी खरीदी। अगर उसने घोड़े को 10% नुकसान और 20% लाभ पर गाड़ी बेच दी, तो उसे कुछ भी हानि नहीं होगी; लेकिन अगर उसने घोड़े को 5% की हानि और 5% लाभ पर गाड़ी बेच दी, तो उसे सौदा में 10 रु की हानि होगी। उसके द्वारा क्रय की गई राशि घोड़े के लिए रु _______ और गाड़ी के लिए रु _______है ? A) 400,200 B) 200,400 C) 500,300 D) 300,500 Correct Answer :400,200 Explanation :Let x be the cost price of the horse and y be the cost price of the cart. In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain. Therefore (10/100) * x = (20/100) * y x = 2 * y -----------------(1) In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.Therefore (5 / 100) * x = (5 / 100) * y + 10 -------(2) Substituting (1) in (2) we get (10 / 100) * y = (5 / 100) * y + 10 (5 / 100) * y = 10 y =cost price of the cart = 200 From (1) x= 2 * 200 =cost price of the horse = 400 If an article costs 60% of its selling price there is a profit of Rs.60. what is the selling price? यदि किसी वस्तु का क्रय मूल्य उसके विक्रय मूल्य का 60% है तो उसका लाभ 60 रुपये है। विक्रय मूल्य क्या है? A) Rs. 125 B) Rs. 120 C) Rs. 140 D) Rs. 150 Correct Answer :Rs. 150 Explanation :Profit = SP - CP (i.e., if SP > CP) As given, CP = 60% of SP => (60/100) *SP Thus, 60 = SP - (60/100) *SP 60 = SP*(40/100) SP=(60*100)/40 the selling price is SP=150 An article is sold at a certain price. By selling it at 3/5 of that price one loss 10%. What is the gain percent at original price ? एक वस्तु एक निश्चित कीमत पर बेचा जाता है। उस कीमत के 3/5 पर बेचकर 10% हानि होगी । मूल कीमत पर लाभ प्रतिशत क्या है? A) 33% B) 35% C) 40% D) 50% Correct Answer :50% Explanation :Profit = SP - CP ( if SP > CP) Profit% = (Profit* 100)/CP Let the cost price is Rs 100,Thus the selling price with 10% loss = Rs 90 that is, Rs 90 =3/5 of the original selling price So the original selling price = 90 * 5/3 = Rs 150 Thus,gain = 150 -100 = 50 Gain% = (50*100)/100 => 50% Radhe Shyam purchases 11 apples for Rs. 100 and sells 10 apples for Rs. 110. How much profit/loss does he make over the two transactions? राधे श्याम 100 रुपये मे 11 सेब खरीदता है। और 110 रुपये मे 10 सेब बेचता है। वह लेनदेन पर कितना लाभ / हानि प्राप्त करता है। A) 19% Profit B) 1.9% Loss C) 21% Profit D) 21% Loss Correct Answer :21% Profit Explanation :C.P of 1 apples = 100/11 S.P of 1 apples = 110/10 Profit = S.P - C.P =11-(100/11) =(121-100)/11 =21/11 Profit% = (Profit/C.P)*100 =((21/11)/(100/11))*100 = 21% By selling a watch for Rs. 4950, a shopkeeper incurs a loss of 10%. What is the cost price of the watch for the shopkeeper? एक घड़ी 4950 रुपये मे बेचकर दुकानदार 10% की हानि प्राप्त करता है। दुकानदार के लिए घड़ी की लागत कीमत क्या है? A) Rs. 5650 B) Rs. 5500 C) Rs. 5550 D) Rs. 5450 Correct Answer :Rs. 5500 Explanation :Selling price of watch, SP = 4950 Loss = 10% thus, Cost price CP = (SP * 100)/(100 - Loss%) = (4950 * 100)/(100 - 10) = 495000/90 = 5500 A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%? एक फल विक्रेता 9 रुपये प्रति किलो की दर से आमों को बेचता है और इस प्रकार उसे 20% हानि होती है। 5% का लाभ प्राप्ति के लिए उन्हें प्रति किलो किस कीमत पर बेचा जाना चाहिए ? A) Rs.11.81 B) Rs.12 C) Rs.12.25 D) Rs.12.31 Correct Answer :Rs.11.81 Explanation :80 : 9 = 105 : x x = (9×105/80) = Rs.11.81 Hence, SP per Kg= Rs.11.81 A shopkeeper marks his goods at such a price that he can deduct 20% for cash and yet make 20% profit. The marked price of an item which cost him 180 is? एक दुकानदार अपने सामान को इस तरह के मूल्य पर चिह्नित करता है कि वह नकद के लिए 20% कटौती कर सकता है और फिर भी 20% लाभ कमा सकता है। 180 की कीमत वाली किसी वस्तु का चिह्नित मूल्य क्या होगा ? A) 270 B) 240 C) 245 D) 260 Correct Answer :270 Explanation :CP = 180,Gain = 20% SP = (120/100) * 180= 216 Let the Marked Price be x. Then, 80% of x = 216 80x/100 = 216 x =216*100/80 =217 Thus, Marked Price is 270 A dealer buys an article marked at 40000 with 20% and 10% off. He spends 1200 on its repairs and sells it for 30000. What is his gain or loss per cent? एक दुकानदार 40000 चिह्नित एक वस्तु पर 20% और 10% क्रंमबद्ध छूट के साथ खरीदता है। वह अपनी मरम्मत पर 1200 खर्च करता है और इसे 30000 के लिए बेचता है। उसका लाभ या हानि प्रतिशत क्या है? A) 10% gain B) 10% loss C) no profit no loss D) None of the above Correct Answer :no profit no loss Explanation :CP = (80% of 90% of 40000) + (1200) = (80/100)*(90/100)*40000 + (1200) = (28800 + 1200) = 30000 So, CP = 30000 and SP = 30000 therefore no gain no loss in the transaction. Successive discount of 10% and 10% are equivalent to a single discount of ? 10% और 10% की क्रंमबद्ध छूट, एक ही छूट के बराबर होगी? A) 19% B) 21% C) 21% D) 18% Correct Answer :19% Explanation :Let the CP be 100. Then, SP = 90% of 90% of 100 = (90/100)*(90/100)*100 = 81 Single discount = (100-81)% = 19% Gourav bought a scooter for 45000 rupees. If the shopkeeper has given him a discount of 10%, what was the marked price of the scooter? गौरव ने 45000 रुपये मे एक स्कूटर खरीदा। अगर दुकानदार ने उसे 10% की छूट दी है, तो स्कूटर का अकिंत मूल्य क्या था? A) 50000 B) 55000 C) 65000 D) 60000 Correct Answer :50000 Explanation :Let marked price was X. then X - 10% of X = 45000 0.9X = 45000 X = 45000/0.9 X = 50000 The marked price price was Rs. 50000 A cycle dealer sells a bicycle at a gain of 8%. Had he sold it for Rs. 75 less, he would have lost 2%. What is the cost price of the bicycle? एक साइकिल डीलर साइकिल को 8% के लाभ पर बेचता है। अगर उसने इसे 75 रु कम मे बेची होती, वह 2% खो दिया होता। साइकिल की लागत कीमत क्या है। A) Rs. 850 B) Rs. 350 C) Rs. 750 D) Rs. 450 Correct Answer :Rs. 750 Explanation :Let x be the cost price selling price = [100 + gain%)/100]*x =108*x/100 if he had sold it at Rs 75 less, he would have lost 2% i.e. 108*x/100 - 75 = 98*x/100 108*x - 7500 = 98*x 10x = 7500 Cost price X= Rs 750 By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold at Rs. 96 so as to have 20% profit? एक व्यक्ति को 160 रुपये के 90 बॉल पेन बेचकर 20% की हानि हुई । 96 रुपये के कितने बाल पेन बेचे जाए कि 20% का लाभ हो ? A) 36 B) 37 C) 46 D) 47 Correct Answer :36 Explanation :sp of 90 ball pens = rs 160 =20% loss so, cp of 90 ball pens = 160*100 / (100-20) =rs 200 cp of 1 ball pen =200/90 =20/9 let X ball pens are sold to earn20% profit then , cp of X ball pens = X*(20/9) as given SP of X ball pens = rs 96 , 20% profit hence X*(20/9)=96*100 / (100+20) = 80 X=80*(9/20) = 36 So, 36 ball pens should be sold for rs 96 to earn profit of 20%