document.write( "Question 844163: The price of a refrigerator decrease by 20%and then by 25%. By what percent must the price increase to reach the original price \n" ); document.write( "
Algebra.Com's Answer #508598 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
p = original price.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Decrease 20%.
\n" ); document.write( "\"p-p%2820%2F100%29=p%281-1%2F5%29\"
\n" ); document.write( "\"%288%2F10%29p\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Decrease 25% from (8/10)p.
\n" ); document.write( "\"%288%2F10%29p-%2825%2F100%29%288%2F10%29p\"
\n" ); document.write( "\"%288%2F10%29p%281-25%2F100%29\"
\n" ); document.write( "\"%288%2F10%29p%283%2F4%29\"
\n" ); document.write( "\"%288%2F10%29%283%2F4%29p\"
\n" ); document.write( "\"%284%2F5%29%283%2F4%29p\"
\n" ); document.write( "\"highlight_green%28%283%2F5%29p%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The 20% and then the 25% decreases were effectively a decrease of \"%282%2F5%29\" of the original price, which is a 40% decrease from the original price p. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The question is, starting from \"%283%2F5%29p\", what is the percent increase to reach \"1%2Ap\"?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let m be a factor so that \"%283%2F4%29p%2Am=p\". What is the value of this factor, m? No steps needed hopefully, for seeing that \"highlight_green%28m=5%2F3%29\". As the percent increase, this is \"m=5%2F3=1%262%2F3\"; the two-thirds part being the fraction of the increase needed. As a percentage, this is \"highlight%2866%262%2F3%29\" percent increase.
\n" ); document.write( "
\n" );