Difference between revisions of "1950 AHSME Problems/Problem 36"
DarkPikachu (talk | contribs) m (→Problem) |
Ishankhare (talk | contribs) (→Solution) |
||
(One intermediate revision by one other user not shown) | |||
Line 10: | Line 10: | ||
==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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.