# Aptitude - Profit and Loss - Discussion

### Discussion :: Profit and Loss - General Questions (Q.No.10)

10.

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

[A]. 30%
[B].
 33 1 % 3
[C]. 35%
[D]. 44%

Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

 C.P. of 30 articles = Rs. 5 x 30 = Rs. 25. 6

 S.P. of 30 articles = Rs. 6 x 30 = Rs. 36. 5 Gain % = 11 x 100 % = 44%. 25

 Nabeela said: (Sep 18, 2010) How do we get 11? Wat is the formula used?

 Nabee said: (Sep 18, 2010) Gain = ( (SP - CP) /CP) *100.

 Shafiq said: (Sep 21, 2010) Why we take LCM 5 and 6? Please explain.

 Surendra said: (Nov 3, 2010) Why we should take LCM?

 Vineeth said: (Nov 26, 2010) The choice of number is arbitrary.... you can take any number in place of 30.. even if you take 1 you will get the answer. ..by taking 30 calculation will be simpler

 Qaiser said: (Dec 9, 2010) Why should we take 30 articles?

 Kumar said: (Dec 21, 2010) Is any another method available for this some.....?

 Md Sharik Ahmad said: (Jan 5, 2011) Use Unitary method C.P of 1 article= Rs(5/6)= .833 S.P of 1 article= Rs(6/5)= 1.2 Profit= 1.2-.833= .367 %Gain= ( Profit /CP) *100. = (.367/.833)*100 = .44*100 = 44%

 Munjal said: (Jan 25, 2011) Why should we take 30 articles. And how you get the 25. And why we take L. C. M 5 and 6?

 Malar said: (Mar 5, 2011) 5/6*30 divide into 6 we get 25.then 6+5 we get 11. How much articles bought this is done by l.c.m. So 6&5 multiply it we get 30.

 Mani said: (Apr 12, 2011) c.p of 1 article = 5/6 s.p of 1 article = 6/5 gain = s.p - c.p = 6/5 - 5/6 = 11/30 gain% = (gain/c.p)* 100 = (11/30)/(5/6) * 100 = 44%

 Manasa.Mallem said: (Jun 26, 2011) Thank you Sharik.

 Sunita said: (Jul 6, 2011) Sharik very good explanation yar.

 Santhosh said: (Jul 15, 2011) Thanks mani.

 Sree said: (Jul 29, 2011) I have one question please answer my doubt. A cellular phone when sold for Rs.4600 fetches a profit of 15% .find the cost price of cellular phone?

 Deepika said: (Aug 4, 2011) Thanks SHARIK. Really you make me understand.

 Anandhakumar.P said: (Aug 5, 2011) SP of 5 article = rs .6 therefore sp of 6 article = (6/5)*6 = rs. 7.2 now cp of 6 article(given) = rs. 5 gain = Sp -Cp = 7.2 - 5 = 2.2 gain % = (gain*100)/cp = (2.2*100)/5 = 44% thats it !!!!!!!!!!!

 Nj. said: (Aug 23, 2011) Answer to Sree's query; Selling Price= Rs.4600 Profit%= 15% Therefore, C.P.= (100/(100+ Profit %))*S.P. = (100/115)*4600 = Rs.4000

 111 said: (Sep 10, 2011) Thanks Ahmad.

 Vasuroshan said: (Sep 27, 2011) @srees query..... sp=4600 gain%=15 we have formulae that gain%=gain*100/cp =(sp-cp)*100/cp =(4600-x)*100/x gain%=15 then put the value for gain% 15=((4600-x)*100)/x by solving we get (4600*20)/23=4000 so cost price is===4000

 Vrutti said: (Oct 5, 2011) @SREE Here,i use the formula C.p=((100/100+Gain%)*s.p) Now,C.P=(100/115)*4600 Hence,C.P = 4000

 Hari said: (Nov 20, 2011) Can any one please explain me the full problem. Because I am struck in the first step itself.

 Malli said: (Dec 20, 2011) Why should we take LCM according to other problems cp is 5 and sp is 6 sp-cp =1

 A.Jain said: (Dec 30, 2011) 6 article in 5 Rs 1.........in 5/6Rs 5 article in 6 Rs 1.........in 6/5Rs so solve this we get ((6/5)-(5/6))/(5/6) solve this we get 11/25 this is our profet n toget profit in percentge multiply by 100 we get 44% :)

 Varun said: (Jun 4, 2012) C.P= 6articles:5;. S.P= 5articles:6;. C.P= 6*5/6:5*5/6;. S.P= 5:6. C.P=5:25/6. S.P=5:6. Profit=S.P- C.P; =6-25/6;. Profit=11/6;. Profit%=profit/C.P*100;. 44%.

 Samiksha said: (Aug 26, 2012) We can simply apply the formula ie, ((sp-cp)*100 /cp)% ie, ((6/5-5/6)*100 /(5/6))% = 44%

 Altab said: (Aug 31, 2012) Can we solve this by unitary method,the ans is 50% a man bought some fruits at 16 for rs 24 and sold them at the rate of 8 for rs 18. Whats the profit %...?

 Monika said: (Sep 2, 2012) @Samiksha is right.

 Rajasekhar said: (Sep 17, 2012) Yes Altab you can solve the above problem using unitary method as follows C.P of one article is 24/16=3/2=1.5 S.P of one article is 18/8=9/4=2.25 gain %=(2.25-1.5)*100/1.5=50 %

 Satnam said: (Oct 17, 2012) CP of 6 = 5 CP of 1 = 5/6 = 0.83 CP of 5 = CP of 6 - CP of 1 = 5-0.83 = 4.16 SP of 5 = 6 Clearly profit and profit = SP of 5 items - CP of 5 items. = 6 - 4.16 = 1.84 Profit % = gain/CP*100 = 1.84/4.16*100 = 44.23 Approx 44%.

 Pandu said: (Feb 22, 2013) Simply profit=6/5-5/6 =11/30. G%=profit/cp*100 =(11/30)/5/6*100 =44%.

 Chandan Muduli said: (May 11, 2013) This is very short Method : 6 5 5 6 = (6X6)-(5X5)/5X5 X 100 = 44.

 Mona said: (Jul 25, 2013) C.P of 6 article = Rs. 5. S.P of 5 article = Rs. 6. S.P of 6 article = 6x6/5. Profit= S.P - C.P = 11/25. Profit% = 11/25 x 100 = 44%.

 Gaurav Bhardwaj said: (Aug 31, 2013) Cost price of 1 article = (5/6). Selling price of 1 article = (6/5). So Gain% = ((S.P-C.P)/C.P)*100. So Gain% = (((6/5) - (5/6))/(5/6))*100. Gain% = 44% Solved.

 Anupom said: (Sep 26, 2013) CP 6 article in Rs. 5. 5 article in Rs. (5*5/6)=25/6. SP 5 article in Rs.6. Profit = 6-25/6=11/6. Profit% = ((11/6)/(25/6))*100% = (11*6*100)/(6*25) % = 44% Answer.

 Arun Kumar said: (Nov 6, 2013) CP of 6 articles is Rs 5. SP of 5 articles is 6. One article SP is = 6/5 = 1.2. we will calculate gain after selling all the articles only. So we need to take remaining article. So Total selling price = 1.2*6 = 7.2. Now CP 5--------------- 100% 7.2 ---------------- ? SP% = (7.2*100)/5 = 144. Gain = 144-100 = 44%.

 Anil said: (Feb 1, 2014) Apply this trick in these kind of question. (x2-y2) /y2*100. For +ve sign profit and for -ve sign loss.

 Sushmitha said: (Feb 28, 2014) Can someone explain the question?

 Bhanu Ravali said: (Apr 12, 2014) @Anil your said good but I can't understand what is x2&what is y2? please describe it.

 Bhanu Ravali said: (Apr 12, 2014) Answer to @Sree question simple method. SP = 4600 Rs. p% = 15%. SP% = 115%. 115%-*40---------->4600. 100%------------>?. 100*40. 4000. So, CP = 4000. Note: Always CP% = 100%.

 Rohitashwa Srivastava said: (May 8, 2014) CP = 5/6. SP = 6/5. Profit = 6/5-5/6 = 11/30. Profit% = (profit/cp)*100%. Profit% = (11/30/5/6)*100. Profit% = 44%.

 Saikumar said: (Jul 16, 2014) SIMPLY WE CAN OBSERVE FROM SUM IS, CP=5/6 AND SP=6/5. WE HAVE FORMULA FOR GAIN PERCENTAGE = ((CP-SP)/CP)*100. FINALLY WE COME OUT AN ANSWER OF 44%.

 Simhachalam said: (Oct 30, 2014) Try to follow best shortcut these type of problems is: ``` Articles, Rupees C.P 6, 5 = 25. S.P 5, 6 = 36.``` Profit = ((S.P-C.P)/C.P)*100. = ((36-25)/25))*100. = (11/25)*100. = 44%.

 M.Sireesha said: (Nov 17, 2014) The short cut for the above problem is ((b^2-a^2)/a^2)*100. Here b = 6 and a = 5. Substitute these values in the above formula, We get 6^2-5^2 = 36-25 = 11. a^2 = 5^2 = 25. Gain% = (11/25)*100. = 44%.

 T.Renuka said: (Dec 5, 2014) CP of 1 article = Rs.5/6. SP of 1 article = Rs.6/5. Profit = SP-CP = (6/5)-(5/6) = (36-25)/30. PROFIT = 11/30. Gain% = ((11/25)/(5/6))*100 /*gain% formula*/. = (11/25)*100 = 44%.

 Fizzz said: (Dec 19, 2014) (ad-bc)/(bc)*100% formula: a = 6. b = 5. c = 5. d = 6. 11/25*100% = 44%.

 Venkatesh said: (Mar 11, 2015) Give me some short cut formulas for when a problem includes articles.

 Chiranjit Kr said: (Aug 23, 2015) Can someone give an universal formula irrespective of conditions please?

 Raju said: (Oct 12, 2015) Hi friends here is the s/c for this kind of models that is: 6- 5. 5-6. Cross multiply both i.e 6*6-5*5 divided by that value after subtraction symbol i.e 25 = 44.

 Raj said: (Feb 15, 2016) Hi friends. 6 articles cost is 5/-Rs. 1 article 5/6. 5 articles ...... 6. 1 article. ..... 6/5. CP for 1 article is 5/6. SP for 1 article is 6/5. SP - CP/CP*100 = Profit percentage. Write the values in formula: 6/5 - 5/6 = 11/30. 11/30/5/6*100 = 44%.

 Subramanya said: (Apr 7, 2016) My question is one person purchase table for Rs. 3000 same table sold to his brother of Rs. 4000 how much % of profit he is getting?

 Shakil Ahmed said: (Apr 27, 2016) @Sharik Ahmad. Thank you, your answer is much simpler. Hats off.

 Rahul said: (May 14, 2016) How to solve (11/30)/(5/6)*100. Please explain with detail.

 Rita said: (May 27, 2016) CP of 6 article = 5. Then, 1 article = 5/6. SP of 5 article is = 6. Then, 1 article = 6/5. Profit = SP - Cp. = 6/5 - 5/6. = 36 - 25/30. =11/30. Profit % = Profit/Cp * 100. = 11/30/5/6 * 100. = 44%.

 Anam said: (Jul 14, 2016) C.P of 1 article = Rs(5/6) = .833. S.P of 1 article = Rs(6/5) = 1.2. C.P of 5 articles = Rs(0.833*5) = Rs 4.165. S.P of 5 articles = Rs 6. Profit = S.P - C.P, = 6 - 4.165. = 1.835. Profit%= (Profit * 100/C.P), = (1.835 * 100/4.165), = 44%.

 Bunny Watto said: (Jul 17, 2016) @Subramanya . C.P = 3000. S.P = 4000. Profit = SP - CP. = 4000 - 3000, = 1000. Profit%= (profit/CP) * 100. = (1000/3000) * 100, = 33.33%.

 Kushi said: (Sep 7, 2016) 6cp = 5rs----->eq1. 5sp = 6rs------->eq2. Now eq2/eq1, then we will get 5sp/6cp = 6/5 by cross multiplying we get. Sp/cp = 36/25, where sp = 36. Cp = 25 (sp>cp). So, profit = sp - cp---->36 - 25 = 11. P% = 11 * 100/25 = 44%.

 Komal said: (Sep 20, 2016) C.P of 1 article = Rs (5/6) = 0.833. S.P of 1 article = Rs (6/5) = 1.2. Profit = 1.2 - 0.833 = 0.367. %Gain = (Profit/CP) * 100. = (0.367/0.833) * 100. = 0.44 * 100 = 44%.

 Ramakrishnaredy said: (Oct 20, 2016) S.P = 4600 Profit = 15% C.P = 100 * 4600/100 + 15 = 4000.

 Prince said: (Dec 2, 2016) Simpler Method : 6 articles------> 5 Rs CP of 1 = 5/6 5articles------->6 Rs SP of 1 = 6/5 %P = SP - CP/CP * 100 Ans----> 44%.

 Sankar said: (Feb 7, 2017) Nice explanation @Prince.

 Sumit said: (Feb 10, 2017) SP of 5 article=Rs 6. CP of 6 article=Rs 5. CP of 1 article= Rs 5/6=0.83. so, CP of 5 article=Rs 0.83*5=4.15. Gain=SP - CP =6-4.15=1.85. G%=1.85/4.15*100=44.573= 44%(approx).

 Prateek said: (Apr 27, 2017) Nice explanation, Thanks @Mani.

 Amit said: (Jul 22, 2017) First, Cost Price of 6 articles is Rs.5 Then, Cost Price of 1 article is Rs 5/6 Now, SP of 5 articles is 6. So, SP of 1 article is 6/5. Gain= SP-CP. =6/5-5/6, =11/30, Now, Gain% = 11/30*100/5*6 = 44%. Thank You.

 Vader said: (Aug 14, 2017) 44% is correct if it is for selling and purchasing an equal number of articles. It's open ended here. The Initial investment is 6 articles bought for Rs 5 or 30 Rs. Revenue Generated 30 Rs. Net gain = 1 article worth of Rs 5 which he can sell at any rate. So gain % gain/initial investment * 100.

 Soumya Sahoo said: (Aug 18, 2017) Cp of 1 article is 5/6. So of 1 article is 6/5. So profit is 6/5--5/6. Profit percent is profit /cp*100. 6/5--5/6by 5/6 *100.

 Bhumi said: (Oct 2, 2017) How did we get 11? Explain.

 Bhumi said: (Oct 2, 2017) Good explanation. Thanks

 Bunny said: (Oct 5, 2017) Thanks @Mani.

 Neelam said: (Nov 18, 2017) CP of 6 article = 5 Rs. CP of 1 article = 5/6 Rs. SP of 5 article = 6 Rs. Sp of 1 article = 6/5 Rs. Gain = SP-CP. Than 6/5 -5/6 = gain. Take LCM of denominator 5 and 6 is equal to 30. Than 36-25/30 = gain. It is equal to 11/30 . Gain% = (gain*100/cp). = 11/30 * 100/ 5/6. = 11/30 *100 * 6/5. = 44%.

 Nathi said: (Jan 21, 2018) Good explanation @Neelam.

 Shyam said: (Jan 23, 2018) Thanks @Mani.

 Prasanna said: (Mar 4, 2018) C.p of 6 articles = 5 rs, Hence, c.p. of 1 article = 5/6 rs. Similarly, we can find s.p. of 1 article = 6/5 rs. Now, profit% = [(s.p. - c.p.)/c.p.]*100 P% ={[ (6/5)- (5/6)]/( 5/6)}*100 P%= 44.

 Anjali Jangir said: (Apr 4, 2018) Thanks @Mani.

 Radha said: (Apr 20, 2018) Simple trick. 6 5 5 6 Cross multiplication. 5*5=25 cp, 6*6=36 sp, Sp-cp=gain. 36_25=11, %profit=11*100/25=44%.

 Selva said: (Jun 23, 2018) No of items * 100 /amount = No of items * X / Amount. 6*100/5=5*X/6 = 144 gain percentage 144-100=44%.

 Sreekanth Reddy said: (Sep 12, 2018) CP of 1 article=5/6=0.833. SP of 1 article=6/5=1.2. p=0.3670. p%=(0.367/0.833)*100 = 44%.

 Rawat said: (Sep 22, 2018) cp= 6x ----- 5y sp=5y ----- 6x = 6*6-5*5/5*5)*100. = 44%.

 Pvr said: (Oct 4, 2018) Cp of 1 article is 5/6 and sp of 1 article is 6/5. Gain=6/5 - 5/6 = 11/30, Gain%= 11/30 * 6/5 * 100 = 44%.

 Erharsha said: (Nov 13, 2018) @Sree. S.p=4600 profit=15% c.p=? So by applying S.P =100+gain% ÷100 * c.p We will get the answer.

 Farrukh Baloch said: (Nov 23, 2018) Cost price of one article= 5/6= .83. Selling price of one article= 6/5= 1.2. Gain %=( 1.2 - .83/.83) 100 = 44.

 Indresh said: (Feb 1, 2019) Cp of 5 articles is 25. Sp of 5 articles is 30. Gain is equal to 30-25 = 5. Gain % = 5 * 100/25 = 20. Please explain.

 Rajendra said: (Feb 9, 2019) By calculating the CP and SP for one article. Profit is 11/30 hence 44% is correct answer.

 Rajasekar said: (Feb 15, 2019) Well explained @Mani.

 Atul said: (Feb 20, 2019) Thanks for the answer @Mani.

 Nandish Gowda said: (Mar 22, 2019) For 6 articles = 5 rs . so for 1 article= 5/6 rs == CP of 1 article, He sold 5 art = 6 rs , so for 1 aticle = 6/5 rs == SP of 1 article, Profit for one article = SP- CP = 6/5 - 5/6 = 30 /11. Profit for 5 article = 11/6 rs 0. So he sold only 5 articles . so CP of 5 articles = 5 * 5?/6 = 25/6. %p = (p/cp) * 100 = ((11/6)/ (25/6)) * 100 = 44% is the answer

 Pramod Pawar said: (Jun 5, 2019) While purchasing. 1 article =5/6 rs. While selling. 1 article =6/5 rs. So therefore for 5 articles : SP=6rs. CP= 5/6*5=25/6. Therefore profit = 6-25/6 = 11/6. %P= (11/6) /CP*100 = 44%.

 Pramod Pawar said: (Jun 5, 2019) While purchasing; 1 article =5/6 rs, While selling, 1 article =6/5 rs. So therefore for 5 articles: SP = 6rs. CP= 5/6*5 = 25/6, Therefore profit = 6-25/6 = 11/6. %P=(11/6)/CP*100 = 44%.