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Solution Let the C.P of 10 apples = S.P of 8 apples = x Then C.P of each apple = x/ 10 And S.P of each apple = x/ 8 Now x / 8 > x / 10 It means S.P > C.P , therefore it is Profit = S.P- C.P ( formula of profit ) So x / 8 - x / 1 0 = (10x - 8x ) / 80 = 2x / 80 = x/ 40 So we will get profit = x / 40 Now , we will find Profit % Formula of Profit % = Profit / C.P * 100 So x / 40 / x / 10 * 100 = x / 40 * 10/ x * 100 = 100/ 4 , so we will get 25 % . ( B ) option , 25 % , that would be the final answerA fruit seller sold 200 apples on some day and he made a profit equal to the selling price of 40 apples while on the next day, he sold 200 apples and suffered a loss equal to selling price of 40 apples. Find the difference between percent profit and percent loss made in two situations.
Answer (Detailed Solution Below)Option 1 : 8.33% Free SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 1) 100 Questions 200 Marks 60 Mins Given: Number of apple sold = 200 Profit = 40 apple Next day, Number of apple sold = 200 Loss = 40 apple Formula used: P = S.P. - C.P. L = C.P. - S.P. Profit% = {(S.P. - C.P.)/C.P.} × 100 Loss% = {(C.P. - S.P.)/(C.P.)} × 100 Where, C.P. = Cost Price S.P. = Selling Price P = Profit L = Loss Calculation: Let the price of the apple be Rs. 1. Price of 200 apple sold (S.P) = Rs. 200 Profit = Rs. 40 Loss = Rs. 40 According to the question P = S.P. - C.P. ⇒ 40 = 200 - C.P. ⇒ C.P. = Rs.160 ----(1) Profit% = {(S.P. - C.P.)/C.P.} × 100 ⇒ Profit% = {(200 - 160)}/160} × 100 ⇒ Profit% = {40/160} × 100 ⇒ Profit% = 25% ----(2) Again according to the question, Loss = C.P - S.P. ⇒ 40 = C.P. - 200 ⇒ C.P. = Rs. 240 ----(3) Loss% = {(C.P. - S.P.)/(C.P.)} × 100 ⇒ Loss% = {(240 - 200)/240} × 100 ⇒ Loss% = {40/240} × 100 ⇒ Loss% = (1/6) × 100 ⇒ Loss% = 16.67% ----(4) Difference between the profit and loss % ⇒ 25% - 16.67% ⇒ 8.33% Difference between the profit and loss % is 8.33%. Last updated on Sep 30, 2022 The SSC CGL 2022 Amendment Notice Out on 30th September 2022. The SSC CGL Notification was out on 17th September 2022. The candidates will be able to apply online from 17th September to 8th October 2022. The SSC CGL Eligibility will be a bachelor’s degree in the concerned discipline. This year, SSC has completely changed the exam pattern and for the same, the candidates must refer to SSC CGL New Exam Pattern. Stay updated with the Quantitative Aptitude questions & answers with Testbook. Know more about Profit and Loss and ace the concept of Successive Selling. Free SSB Head Constable Full Mock Test 100 Questions 100 Marks 120 Mins Latest SSB Head Constable Updates Last updated on Sep 29, 2022 The Sashastra Seema Bal (SSB) is soon going to release the official notification for the SSB Head Constable Recruitment 2022. The SSB has released a total of 115 vacancies for the last recruitment cycle and this year the vacancies are expected to be released more. The SSB Head Constable Selection Process comprises four stages namely Physical Efficiency Test & Physical Standard Test, Written Examination, Skill Test/Typing Test, and Documentation and Detailed Medical Examination. With an expected salary range between Rs. 25,500 to Rs. 81,100, this is a great opportunity for candidates who wants to join the defence sector. Win over the concepts of Profit and Loss and get a step ahead with the preparations for Quantitative Aptitude with Testbook. Question: A vendor sells apples at a certain price. By selling 40 apples, the vendor gains the money equal to the selling price of 10 apples. How should I calculate his gain percentage?
Answer: Gaining SP of 10 apples means gaining 10 apples when 40 apples are sold. Clearly , it is a gain of 10 apples over 30 apples. So, Gain % = (10/30)x100% = 33.33%
Answer: Gaining SP of 10 apples means gaining 10 apples when 40 apples are sold. Clearly , it is a gain of 10 apples over 30 apples. So, Gain % = (10/30)x100% = 33.33%.
Answer: Let the Selling Price of one apple be x. Then by C.P. = S.P. - Profit we get, ................ C.P. = 40 x - 10x = 30x Gain or Profit %age =( 10x/30x )× 100 =33.33%
Answer: 10 Apple selling price= x so 1 apple=x/10 40 apple= 4x gain =x gain %= 25%.
Answer: Let sp be s and cp be c. SO 40(s-c)=10s. So 30s=40c. Now gain % = s-c/c *100
Answer: Total cp=x,total sp=y gain=y-x=y*10/40=>x=3y/4 gain=y-x=y/4 gain percent=(gain/cp)*100=100/3=33.333
Answer: If he is getting his getting his selling price after selling 10 apples then after that whatever he sells will be his profit. since he will sell now 30 more apples and he is getting his selling price from 10 apples so now he will earn 3 times more after getting his selling price and that will be his profit therefore his gain percentage will be 300% Post Answer and Earn Credit PointsGet 5 credit points for each correct answer. The best one gets 25 in all. |
