My Math Forum Rakesh sold a TV after offering a discount ....

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 April 17th, 2018, 02:01 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 294 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 $S.P = M.P\dfrac {(100-12)(100-12)}{100\times100}$ I am using this formulae, $S.P = M.P\dfrac {(100-p)(100-q)}{100\times100}$ =$\dfrac {6080}{0.88^2}$ 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: 3,245 Thanks: 887 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
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Quote:
 Originally Posted by Country Boy If .... that is correct!
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: 12,771 Thanks: 862 Quit beating around the bush Ganesh: 6080/8000 = .76 1 - .76 = .24 .12 + .12 = .24
April 17th, 2018, 09:21 AM   #5
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Quote:
 Originally Posted by Denis Quit beating around the bush Ganesh: 6080/8000 = .76 1 - .76 = .24 .12 + .12 = .24
Sorry I didn't understand. Are you saying 8000 is wrong answer?

 April 17th, 2018, 10:26 AM #6 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,771 Thanks: 862 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
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Quote:
 Originally Posted by Denis CountryBoy is CORRECT if done this way: 7851.24 - .12(7851.24) = 6909.10 6909.10 - .12(6909.10) = 6080.00
I can't see any 8000 here, how this is correct ?

 April 18th, 2018, 05:45 AM #8 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,771 Thanks: 862 Go play in the traffic during rush hour...
April 18th, 2018, 06:29 PM   #9
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Quote:
 Originally Posted by Denis Go play in the traffic during rush hour...

 April 19th, 2018, 01:37 AM #10 Global Moderator   Joined: Dec 2006 Posts: 19,189 Thanks: 1648 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. Thanks from Ganesh Ujwal

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