Difference between revisions of "1950 AHSME Problems/Problem 36"
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==Solution== | ==Solution== | ||
| − | + | Without loss of generality, we can set the list price equal to <math>100</math>. The merchant buys the goods for <math>100*.75=75</math>. Let <math>x</math> be the marked price. | |
| − | + | We then use the equation <math>0.8x-75=25</math> to solve for <math>x</math> and get a marked price of <math>\boxed{125}</math>. | |
| − | <math> | ||
| − | <math>= | ||
| − | <math> | ||
| − | <math> | ||
| + | <math>\text{Answer: }\boxed{\mathbf{(A)}}</math> | ||
==See Also== | ==See Also== | ||
Latest revision as of 21:41, 24 January 2018
Problem
A merchant buys goods at 
off the list price. He desires to mark the goods so that he can give a discount of 
on the marked price and still clear a profit of on the selling price. What percent of the list price must he mark the goods?
Solution
Without loss of generality, we can set the list price equal to 
. The merchant buys the goods for 
. Let 
be the marked price.
We then use the equation 
to solve for and get a marked price of 
.
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 35 |
Followed by Problem 37 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
