Solving Equations to Find ProfitDate: 8/10/96 at 4:22:5 From: Anonymous Subject: Solving Two Equations to Find the Profit of... You bought A and B for 40,000 Won. You sold A for a 0.3 percent profit, and sold B at a 0.2 percent discount. You profited 5000 Won. What was A's original price? *Won-Korean money measurement. Thanks a lot! Date: 8/30/96 at 17:42:23 From: Doctor Jerry Subject: Re: Solving Two Equations to Find the Profit of... Let A equal the original price of A and B equal the original price of B. So, one equation is A + B = 40000. If A was sold for 0.3 percent profit, then the profit is A - A*0.003; if B was sold at a 0.2 percent discount, then the profit will be B* 0.998 - B. So, a second equation is A - A*0.003 + B*0.998 - B = 5000. If these equations are solved simultaneously, then A = 5085.09 (rounded to six significant figures). You will need to look at how I interpreted the 0.2 percent discount. I took this to mean that B was sold at a price of 100 - 0.2 percent of value. So the selling price was B*(100-0.2)/100 and the profit is B*0.998 - B, which is a negative profit. -Doctor Jerry, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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