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
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Algebra.Com's Answer #224835 by Theo(13342)\"\" \"About 
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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
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\n" ); document.write( "\n" ); document.write( "In general, the formula to use is:\r
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\n" ); document.write( "\n" ); document.write( "let m = revenue in march.
\n" ); document.write( "let a = revenue in april.\r
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\n" ); document.write( "\n" ); document.write( "a * (1+i) = m\r
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\n" ); document.write( "\n" ); document.write( "where i is the increase percentage divided by 100%.\r
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\n" ); document.write( "\n" ); document.write( "If we divide both sides of this equation by (1+i), then we get:\r
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\n" ); document.write( "\n" ); document.write( "m = a / (1+i)\r
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\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
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\n" ); document.write( "\n" ); document.write( "Since parts increase was 10%, then (1+i) would equal 1.10 for parts.\r
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\n" ); document.write( "\n" ); document.write( "since services increase was 25%, then (1+i) would equal 1.25 for services.\r
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\n" ); document.write( "\n" ); document.write( "For parts, this equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "m = 1100 / (1.10)\r
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\n" ); document.write( "\n" ); document.write( "For services, this equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "m = 70000 / (1.25)\r
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\n" ); document.write( "\n" ); document.write( "Resolving these formulas, we get:\r
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\n" ); document.write( "\n" ); document.write( "parts in march = 1100/1.10 = 1000
\n" ); document.write( "services in march = 70000/1.25 = 56000\r
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\n" ); document.write( "\n" ); document.write( "The total revenue in march is equal to $57,000\r
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\n" ); document.write( "\n" ); document.write( "To confirm, we just go in reverse.\r
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\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
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\n" ); document.write( "\n" ); document.write( "The answer is confirmed to be accurate so we're good.\r
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