document.write( "Question 1005417: A well known publishing house agreed to sell a stated number of copies of their book for RS 4500. had they sold 5 copies less for same amount they would have received RS 30 more for each copy find the number of copies sold? \n" ); document.write( "
Algebra.Com's Answer #621700 by ikleyn(52807)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A well known publishing house agreed to sell a stated number of copies of their book for RS 4500.
\n" ); document.write( "Had they sold 5 copies less for same amount they would have received RS 30 more for each copy. Find the number of copies sold?
\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let n = number of copies sold.\r\n" );
document.write( "Then each copy was sold for RS \"4500%2Fn\".\r\n" );
document.write( "\r\n" );
document.write( "Had they sold 5 copies less for the same amount, they would receive RS \"4500%2F%28n-5%29\" for each copy. \r\n" );
document.write( "\r\n" );
document.write( "According to the condition,\r\n" );
document.write( "\r\n" );
document.write( "\"4500%2Fn\" + 30 = \"4500%2F%28n-2%29\".\r\n" );
document.write( "\r\n" );
document.write( "Solve this equation for n. For it, multiply both sides by n*(n-5). You will get\r\n" );
document.write( "\r\n" );
document.write( "4500*(n-5) + 30*n*(n-5) = 4500*n.\r\n" );
document.write( "\r\n" );
document.write( "Simplify, and you will get a quadratic equation\r\n" );
document.write( "\r\n" );
document.write( "\"n%5E2+-+5n+-+750\" = \"0\".\r\n" );
document.write( "\r\n" );
document.write( "Apply the quadratic formula.\r\n" );
document.write( "The equation has two roots. One root is negative, and it doesn't work. Another root is 30.\r\n" );
document.write( "\r\n" );
document.write( "So, the number of copies sold is 30.\r\n" );
document.write( "\r\n" );
document.write( "Please check the solution yourself.\r\n" );
document.write( "\r\n" );
document.write( "Answer. The number of copies sold is 30.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );