Difference between revisions of "1950 AHSME Problems/Problem 22"
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==Solution== | ==Solution== | ||
| − | + | Without loss of generality, assume something costed <math>100</math> dollars. Then with each successive discount, it would cost <math>90</math> dollars, then <math>72</math> dollars. This amounts to a total of <math>28</math> dollars off, so the single discount would be <math>\boxed{\mathrm{(D)}\ 28\%.}</math> | |
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==See Also== | ==See Also== | ||
{{AHSME box|year=1950|num-b=21|num-a=23}} | {{AHSME box|year=1950|num-b=21|num-a=23}} | ||
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| + | [[Category:Introductory Algebra Problems]] | ||
Revision as of 13:21, 17 April 2012
Problem
Successive discounts of 
and 
are equivalent to a single discount of:
Solution
Without loss of generality, assume something costed 
dollars. Then with each successive discount, it would cost 
dollars, then 
dollars. This amounts to a total of 
dollars off, so the single discount would be 
See Also
| 1950 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 21 |
Followed by Problem 23 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
