
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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April 17th, 2018, 02:01 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  Rakesh sold a TV after offering a discount ....
Rakesh sold a TV after offering a discount of 12%. If he had offered an additional discount of the same amount then the selling price of the TV would have been 6080. Find the marked price of the TV. (Answer: 8000/) D1 = 12% D2 = 12% (I took D2 = 12% because additional discount of the same amount means same as previous one) SP = 6080 $S.P = M.P\dfrac {(10012)(10012)}{100\times100}$ I am using this formulae, $ S.P = M.P\dfrac {(100p)(100q)}{100\times100}$ =$ \dfrac {6080}{0.88^2}$ Is my method wrong? if yes, then correct the method. Last edited by Ganesh Ujwal; April 17th, 2018 at 02:11 AM. 
April 17th, 2018, 03:19 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Couldn't you check your answer yourself? If the original price of the television was MP= 6080/(.88)^2= 7851.24 then 12% of 7851.24 is 954.15 so after the first discount, the price would be 7851.24 954.15= 6909.09. 12% of that is 829.09 so after the second discount the price would be 6080. Yes, that is correct!
Last edited by skipjack; April 19th, 2018 at 01:20 AM. 
April 17th, 2018, 08:13 AM  #3 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  You are wrong. correct solution is Let the marked price of the TV be $100 m$. Selling price when sold at the discount of 12% = $100m (1\dfrac{12}{100}) = 88m$ Selling price after offering a discount of the same amount = $88m  (100m  88m)$ $76m = 6080$ $m = 80$. Marked price of the TV is $8000$ Now my doubt is: how this step $88m  (100m  88m)$ is obtained? 
April 17th, 2018, 09:09 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,312 Thanks: 935 
Quit beating around the bush Ganesh: 6080/8000 = .76 1  .76 = .24 .12 + .12 = .24 
April 17th, 2018, 09:21 AM  #5 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  
April 17th, 2018, 10:26 AM  #6 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,312 Thanks: 935 
I'm saying that CountryBoy is correct IF the discounts are applied at 12% first, then another 12% on what's left after applying the 1st discount. However, 8000 is correct IF the discounts are applied once as 24%. Your problem is UNCLEARLY worded (as most of your problems are!). A CLEAR way would be: "if the 12% discount had been doubled to 24% discount". Then 8000 would clearly be the correct answer. CountryBoy is CORRECT if done this way: 7851.24  .12(7851.24) = 6909.10 6909.10  .12(6909.10) = 6080.00 
April 17th, 2018, 06:58 PM  #7 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  
April 18th, 2018, 05:45 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,312 Thanks: 935 
Go play in the traffic during rush hour...

April 18th, 2018, 06:29 PM  #9 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  
April 19th, 2018, 01:37 AM  #10 
Global Moderator Joined: Dec 2006 Posts: 19,718 Thanks: 1806 
Although you gave the answer, the question shouldn't require knowledge of the answer. The wording used was "the same amount", which could mean "the same amount of cash", "the same percentage discount, calculated from the original selling price", or "the same percentage discount, but calculated from the already reduced selling price". The first two of those meanings lead to the same answer of 8000. The third possibility leads to a different answer.


Tags 
discount, offering, rakesh, sold 
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