document.write( "Question 314289: Division, April Sales, % Increase Over March
\n" );
document.write( "Parts, $1100.00, 10%
\n" );
document.write( "Services, $70,000, 25%\r
\n" );
document.write( "\n" );
document.write( "What was the combined sales revenue in March for the Parts and Services divisions of Jack's Auto Service \n" );
document.write( "
Algebra.Com's Answer #224835 by Theo(13342) You can put this solution on YOUR website! parts in april were 1,100 with an increase of 10% over march. \n" ); document.write( "services in april were 70,000 with an increase of 25% over march.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In general, the formula to use is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let m = revenue in march. \n" ); document.write( "let a = revenue in april.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a * (1+i) = m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where i is the increase percentage divided by 100%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we divide both sides of this equation by (1+i), then we get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = a / (1+i)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This says that the march revenue is equal to the april revenue divided by 1 + the increase percent divided by 100%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since parts increase was 10%, then (1+i) would equal 1.10 for parts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since services increase was 25%, then (1+i) would equal 1.25 for services.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For parts, this equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = 1100 / (1.10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For services, this equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = 70000 / (1.25)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Resolving these formulas, we get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "parts in march = 1100/1.10 = 1000 \n" ); document.write( "services in march = 70000/1.25 = 56000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total revenue in march is equal to $57,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To confirm, we just go in reverse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "april parts = march parts + 10% which equals 1000 + 100 which equals 1100. \n" ); document.write( "april services = march services + 25% which equals 56000 + 14000 which equals 70000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is confirmed to be accurate so we're good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |