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Expert: - 1/20/2010


Question
Hi Scott...

I came across on of these problems in profit,loss and discount:-

A DEALER SELLS 2 ARTICLES AT THE SAME PRICE. HE MAKES 10% PROFIT ON ONE AND 10% LOSS ON THE OTHER. WHAT IS THE EFFECTIVE PROFIT OR LOSS %.

THE ANSWER IS 1% LOSS.

but i dont understand it... somewhat confused..!!
could you explain me scott..?

and one more thing ... could you also explain me about
"the theorem on equal ratios."

Answer
Lets suppose the item cost $90.

A 10% profit would mean he sold it at a price so that the 10% profit is the amount of what he sold it as.  This would mean he sold it at $100, since the $10 profit is 10% of the sales price.

A 10% loss would mean that he sold it at 90% of the price he bought it at.
It is known that 90% of $90 is $81, so that would be a $9 loss.

When computing the percent profit, it is how much he made in profit out of how much he took in.
When computing the percent loss, it is how much he loss out of the original price.

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Scott A Wilson

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I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can even tell you it takes me over 2,000 steps to go a mile, but is that relevant?

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Experience in the area; I have tutored people in the above areas of mathematics for almost two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree almost 25 years ago. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

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My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

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Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

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I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

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