Question 1203463
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A trader sold an article at a discount of 6% for 846. If the article was initially marked to gain 20%, 
find the market price, cost price of the seller and discount price allowed.
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My point of view is that this post uses wrong terminology;
therefore, it is not possible to understand the meaning of the problem,
so, this formulation is a kind of gibberish (if to call the things by their proper names).


Below I will write a correct formulation and a solution to modified version, 
but before I'd like to give preliminary explanations.


In this problem, the situation is considered from the point of view of the trader.
From this point of view, the following notions/conceptions do work and are applicable:


        - buying price, at which a trader buys an article somewhere outside;
        - marked price, which is written and attached to the article in the store;
        - selling price is for how much a trader sells an article after discount.


Now a correct formulation to the problem is THIS:

<pre>
     A trader sold an article at a discount of 6% for 846. If the article was initially marked to gain 20%, 
     find the {{{highlight(cross(market))}}} <U>marked</U> price, {{{highlight(cross(cost))}}} <U>buying</U> price of the {{{highlight(cross(seller))}}} <U>trader</U> and discount {{{highlight(cross(price))}}} allowed.
</pre>


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution is as follows:


<pre>
Let x be the marked price. Then from the problem

    x - 0.06x = 846,  which implies  0.94x = 846,  x = {{{846/0.94}}} = 900.


Thus the marked price is 900 monetary units.


Next, the marked price provides 20% profit over the buying price.  It gives us this equation

    1.2*y = 900,  where y is the buying price for the trader.


It implies  y = {{{900/1.2}}} = 750.


Thus the buying price is 750 monetary units.


And finally, the discount allowed is 6% of the marked price, or 0.06*900 = 54 monetary units.


<U>ANSWER</U>.  Marked price is 900.  

         Buying price is 750.

         The discount allowed is 54.
</pre>

Solved.


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In this problem, &nbsp;if to formulate it properly, &nbsp;there is no any &nbsp;" market " &nbsp;price.


There is &nbsp;" marked " &nbsp;price, &nbsp;instead, &nbsp;which is totally different conception.