document.write( "Question 1026655: When the original price of an item is increased by a certain rate, the increased price is P3100. When the original price is decreased by the same rate, the decreased priced is P 1900. What is the original price of the item? \n" ); document.write( "

Algebra.Com's Answer #641925 by ikleyn(52813) $\"\"$ $\"About$

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\n" ); document.write( "When the original price of an item is increased by a certain rate, the increased price is P3100.
\n" ); document.write( "When the original price is decreased by the same rate, the decreased priced is P 1900. What is the original price of the item?
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document.write( "The equations are \r\n" );
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document.write( "p*r = 3100,      (1)    (\"When the original price of an item is increased by a certain rate, the increased price is P3100.\")\r\n" );
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document.write( " = 1900.       (2)     (\"When the original price is decreased by the same rate, the decreased priced is P 1900.\")\r\n" );
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document.write( "Here \"p\" is the original price, and \"r\" is the rate.\r\n" );
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document.write( "To find p, multiply equations (1) and (2). You will get\r\n" );
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document.write( " = 3100*1900.\r\n" );
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document.write( "Now take the square root of both sides. You will get the answer.\r\n" );
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document.write( "The other tutor solved it by another way.\r\n" );
document.write( "Simply because we differently interpret the term \"rate\".\r\n" );
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