document.write( "Question 719977: I would appreciate some help on this question please! \r
\n" ); document.write( "\n" ); document.write( "During a sale, the price of a shirt was decreased by 30%. By what percent must the sales price be increased to restore it to its original price? \r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #441611 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+p+\"$ = the original price
\n" ); document.write( "With discount:
\n" ); document.write( "price = $\"+p+-+.3p+\"$
\n" ); document.write( " $\"+p+-+.3p+=+.7p+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Let $\"+x+\"$ = the fraction that the discounted price must be
\n" ); document.write( "increased by to equal the original price
\n" ); document.write( "----------------
\n" ); document.write( " $\"+.7p+%2B+x%2A%28+.7p+%29+=+p+\"$
\n" ); document.write( "Divide both sides by $\"+p+\"$
\n" ); document.write( " $\"+.7+%2B+.7x=+1+\"$
\n" ); document.write( " $\"+.7x+=+.3+\"$
\n" ); document.write( " $\"+x+=+3%2F7+\"$
\n" ); document.write( " $\"+x+=++.4286+\"$
\n" ); document.write( "The discounted price is increased by .4286
\n" ); document.write( "or 42.86% to equal the original price
\n" ); document.write( "----------------
\n" ); document.write( "check Suppose the original price was $70
\n" ); document.write( " $\"+70+-+.3%2A70+=+70+-+21+\"$
\n" ); document.write( " $\"+70+-+21+=+49+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+49+%2B+.4286%2A49+=+49+%2B+21.0014+\"$
\n" ); document.write( " $\"+49+%2B+21.0014+=+70.0014+\"$
\n" ); document.write( "close enough\r
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