# A salesman sells an article at 85 loss

#### Ganesh Ujwal

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?

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#### Country Boy

Math Team
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.

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 $\frac{10}{9}$.

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#### Denis

Math Team
Ganesh, are your problems translated from another language?

#### Ganesh Ujwal

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.

#### Ganesh Ujwal

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

Math Team

#### Ganesh Ujwal

Feel free to ignore me.