document.write( "Question 475484: The charge for 1 unit of electricity is increased from 6 cents to 6.25 cents. If a household reduces its consumption by 1.6%, by what percentage will his electricity bill increase?
\n" ); document.write( "By what percentage does a household need to reduce its consumption in order that the electricity bill remains unchanged? \n" ); document.write( "

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The charge for 1 unit of electricity is increased from 6 cents to 6.25 cents.
\n" ); document.write( " If a household reduces its consumption by 1.6%, by what percentage will his electricity bill increase?
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\n" ); document.write( "Assuming they use 1000 kwh at the old rate: 1000 * .06 = $60.00
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\n" ); document.write( "If they reduce their usage by 1.6%: 1000 - .016(1000) = 984 kwh * .0625 = $61.50
\n" ); document.write( "The bill increases by $1.50.
\n" ); document.write( "Find the percent increase of the their bill $\"1.50%2F60\"$ * 100 = 2.5%
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\n" ); document.write( "By what percentage does a household need to reduce its consumption in order that the electricity bill remains unchanged?
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\n" ); document.write( "Let r = % (in decimals) reduction necessary to make the bill remain the same at the new rate
\n" ); document.write( ".0625(1000 - 1000r) = $60
\n" ); document.write( "62.5 - 62.5r = 60
\n" ); document.write( "-62.5r = 60 - 62.5
\n" ); document.write( "-62.5r = -2.5
\n" ); document.write( "r = $\"2.5%2F62.5\"$
\n" ); document.write( "r = .04 * 100 = 4% reduction in usage for it to remain the same
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\n" ); document.write( "See if this true
\n" ); document.write( "1000 - .04(1000) = 960 * .0625 = $60\r
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