Difference between revisions of "1950 AHSME Problems/Problem 22"
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| − | Without loss of generality, assume something | + | Without loss of generality, assume something costs <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> |
==See Also== | ==See Also== | ||
Revision as of 15:57, 15 June 2013
Problem
Successive discounts of 
and 
are equivalent to a single discount of:
Solution
Without loss of generality, assume something costs 
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 AHSC (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 • 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 | ||
