document.write( "Question 1117368: Lee bought a book for Ą300 and sold it to Wong at a profit of x%. Wong then sold the same book to Fei at a profit of x%.If Fei paid Ą(6x+0.75) more for the book than what Lee paid, find the value of x. \n" ); document.write( "

Algebra.Com's Answer #732440 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The other tutor indicated it took him several tries to try to understand what the problem meant.

\n" ); document.write( "I think his interpretation is not right. It's not surprising, considering the very awkward way in which the problem is stated.

\n" ); document.write( "It seems x is a percentage, so when Lee bought the book for 300 and sold it to Wong at a profit of x%,the price Wong paid was $\"300%281%2Bx%2F100%29\"$ .

\n" ); document.write( "Then when Wong sold it to Fei at a profit of x%, the price Fei paid was $\"300%281%2Bx%2F100%29%5E2\"$ .

\n" ); document.write( "Now we have the problem of trying to interpret the meaning of \"Fei paid Ą(6x+0.75) more for the book than what Lee paid\". The only interpretation I see that gives a reasonable answer is that the amount Fei paid was $\"300%28%286x%2F100%29%2B.75%29\"$ .

\n" ); document.write( "So

\n" ); document.write( " $\"300%281%2Bx%2F100%29%5E2+=+300%28%286x%2F100%29%2B.75%29\"$
\n" ); document.write( " $\"%281%2Bx%2F100%29%5E2+=+%286x%2F100%2B.75%29\"$

\n" ); document.write( "Graphing on a graphing calculator, or some ugly work with the quadratic formula, finds x = 6.351 to 3 decimal places.
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