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 July 29th, 2019, 07:21 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 476 Thanks: 1 Is this sentence necessary in the question? One trader calculates the percentage of profit on the buying price and another calculates on the S.P. When their selling prices are the same, then the difference of their actual profits is Rs 85 and both claim to have made 20% profit. What is the selling price of each? Is this sentence necessary in the question? July 29th, 2019, 08:23 AM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 309 Thanks: 160 Yes, it tells you which equation each person is using to calculate "profit." For Ajay (or trader 1): P1 = 0.2 * BP1 For Bibin (or trader 2): P2 = 0.2 * SP2 The statement claims that SP1 = SP2, and that either P2 - P1 = Rs 85 or P1 - P2 = Rs 85. For simplicity, we can call the selling price SP1 = SP2 = SP. What is profit? Net money earned, right? So P = SP - BP. --> SP - BP1 = 0.2 * BP1 (1) SP - BP2 = 0.2 * SP (2) SP must be greater than BP1 (they made a positive profit), so P2 must be bigger than P1 --> P2 - P1 = (SP - BP2) - (SP - BP1) = Rs 85 (3a) The SP values cancel out. --> BP1 - BP2 = Rs 85 (3b) (1) --> SP = 1 * BP1 + 0.2 * BP1 = 1.2 * BP1 (1b) (2) --> 1 * SP - 0.2 * SP = (1 - 0.2) * SP = 0.8 * SP = BP2 (2b) Rearrange (1b) --> BP1 = SP / (1.2) = (5/6) * SP (1c) Substitute (1c) and (2b) into (3b) --> (5/6) * SP - (4/5) * SP = Rs 85 $\displaystyle \rightarrow (\frac{5}{6} - \frac{4}{5})*SP = Rs~ 85$ Hopefully you can calculate it from there, yes? Tags question, sentence Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Ganesh Ujwal Elementary Math 1 July 5th, 2018 02:08 AM Ganesh Ujwal Geometry 1 April 6th, 2018 09:32 AM lanzo Applied Math 5 August 6th, 2013 01:35 PM johnr New Users 4 April 24th, 2013 04:21 AM tiredtime Abstract Algebra 2 May 20th, 2011 11:21 AM

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