SOLUTION: A shopkeeper makes a profit of 12% if he sells an article for $84. a) Find the cost of the article b) if 5 percent discount is allowed for cash payment. find the cash price of

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Question 1091434: A shopkeeper makes a profit of 12% if he sells an article for $84.
a) Find the cost of the article
b) if 5 percent discount is allowed for cash payment. find the cash price of the article.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
Let +c+ = the cost of the article
+c+%2B+.12c+=+84+
+1.12c+=+84+
+c+=+75+
The cost is $75
-----------------
(b)
With 5% cash discount, the profit
is only +.12+-+.05+=+.07+ of the cost
+c+%2B+.07c+=+1.07c+
+1.07c+=+1.07%2A75+
+1.07%2A75+=+80.25+
The cash price is $80.25