document.write( "Question 88680: When Molly’s dot-com employer fell on bad times, she has to take a 20% cut in pay. How big a raise would she need to restore her salary to what it had been? OK; too easy. To get more than one point for this one, try give a general rule for this type of problem. If you get an x% cut in pay, what size raise do you need to restore your salary?
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Algebra.Com's Answer #64458 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
If you get an x% cut in pay, what size raise do you need to restore your salary?\r
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\n" ); document.write( "Let original wage be \"w\".
\n" ); document.write( "After the x% cut your wage is (100%-x%)w = (1-x/100)w = [(100-x)/100]w
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\n" ); document.write( "What multiple of that remaining wage will get you back to your original wage?
\n" ); document.write( "Let the multiple be \"y\".
\n" ); document.write( "EQUATION:
\n" ); document.write( "(y)[(100-x)/100]w = w
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\n" ); document.write( "The coefficients of w must be equal, so:
\n" ); document.write( "(y)[(1-(x/100)] = 1
\n" ); document.write( "y = 1/(1-x%)
\n" ); document.write( "y = 1/(1-x%)
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\n" ); document.write( "So if your wage is reduced 20% you would need a multiple
\n" ); document.write( "of 1/80% = 100/80 = 1.25
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\n" ); document.write( "You would need a 25% raise to get your original wage.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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