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A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the actual price price were his was the listed price of the article?





Solution

Let the cost price (CP) be x.
As dealer makes a profit of 20%, 
selling price (SP) = 1.2x
But the dealer incurs loss by selling 16 articles at the cost of 12 articles.
So, SP of 16 articles = CP of 12 articles
Loss = 25%
Now, SP = 1.6x
80% of marked (or list) price (MP) = 1.6x
MP = 2x
Hence, list price is 100% above cost price.


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