the total cost price of a certain number of identical articles in 4800. By selling the articles at 100 each a profit equal to the cost price of 15 article's is gained find the no. of article bought
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I agree with the beginning of your work:
Let the articles bought be x
Then C.P of each article is 4800/x
The Selling price of x articles is 100x.
The mistake is in the next step.
Buying x articles the merchant paid 4800/x for each one.
That does not mean that the merchant would pay 4800/15=320 for each one of only 15 of those articles.
It does not mean that the total cost for 15 articles is 320, either.
You cannot say x=15 for this step, when the value of x is what you are trying to find.
Let the articles bought be x
Then C.P of each article is 4800/x
The Selling price of x articles is 100x.
The mistake is in the next step.
Buying x articles the merchant paid 4800/x for each one.
That does not mean that the merchant would pay 4800/15=320 for each one of only 15 of those articles.
It does not mean that the total cost for 15 articles is 320, either.
You cannot say x=15 for this step, when the value of x is what you are trying to find.
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