My Math Forum A salesman sells an article at 85 loss

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 April 17th, 2018, 09:53 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 A salesman sells an article at 8% loss A salesman sells an article at 8% loss. Had he bought the article at 12% less and and sold it at 26 more, he would have made a profit of $11\dfrac{1}{9}$% Find the new selling price of the article. Solution: Let the cost price of the article be 100c Selling price of the article = 92 c New cost price = 88c New selling price = 92c + 26 Given $92c + 23 = \dfrac{10}{9}\times88c \rightarrow c = 4.5$ $\therefore$ Required new selling price = 92 x 4.5 + 26 = 440 I have two questions: How new selling price is 92c + 26 rather than 88c + 26? How $\dfrac{10}{9}$ is obtained? Last edited by Ganesh Ujwal; April 17th, 2018 at 10:05 AM.
April 17th, 2018, 05:29 PM   #2
Math Team

Joined: Jan 2015
From: Alabama

Posts: 3,261
Thanks: 895

Quote:
 Originally Posted by Ganesh Ujwal A salesman sells an article at 8% loss. Had he bought the article at 12% less and and sold it at 26 more, he would have made a profit of $11\dfrac{1}{9}$% Find the new selling price of the article. Solution: Let the cost price of the article be 100c Selling price of the article = 92 c New cost price = 88c New selling price = 92c + 26 Given $92c + 23 = \dfrac{10}{9}\times88c \rightarrow c = 4.5$ $\therefore$ Required new selling price = 92 x 4.5 + 26 = 440 I have two questions: How new selling price is 92c + 26 rather than 88c + 26?
"sold it at 26 more", in English, means sold it for 26 more than he had sold it for in the first scenario. So this is 26 more than the 92c he had sold it for in the first place, not 26 more than the cost.

Quote:
 How $\dfrac{10}{9}$ is obtained?
$1+ 11\frac{1}{9}%= (100+ \frac{100}{9})%= \frac{1000}{9}%$ which, dividing by 100 (since it is a "percent") is $\frac{10}{9}$.

Last edited by Country Boy; April 17th, 2018 at 05:45 PM.

 April 17th, 2018, 07:09 PM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,804 Thanks: 971 Ganesh, are your problems translated from another language?
April 17th, 2018, 07:50 PM   #4
Senior Member

Joined: Aug 2014
From: India

Posts: 343
Thanks: 1

Quote:
 Originally Posted by Denis Ganesh, are your problems translated from another language?
The question is from English. please don't ask too many questions. I am learner, learner should ask questions.

April 17th, 2018, 07:57 PM   #5
Senior Member

Joined: Aug 2014
From: India

Posts: 343
Thanks: 1

Quote:
 Originally Posted by Country Boy $1+ 11\frac{1}{9}%= (100+ \frac{100}{9})%= \frac{1000}{9}%$ which, dividing by 100 (since it is a "percent") is $\frac{10}{9}$.
How $1+ 11\frac{1}{9}$ is obtained?

 April 18th, 2018, 10:34 PM #6 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,804 Thanks: 971
April 18th, 2018, 11:15 PM   #7
Senior Member

Joined: Aug 2014
From: India

Posts: 343
Thanks: 1

Quote:
 Originally Posted by Denis
Feel free to ignore me.

 Tags article, loss, salesman, sells

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Loren Number Theory 7 October 21st, 2016 05:28 AM PHOENIX1N30H9 Computer Science 5 December 4th, 2014 06:17 AM PHOENIX1N30H9 Topology 0 November 4th, 2014 07:41 AM Maffie Giraffie Algebra 10 October 1st, 2013 10:36 AM Bogauss Computer Science 49 March 4th, 2012 04:48 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top