Difference between revisions of "1953 AHSME Problems/Problem 16"
m |
Math Kirby (talk | contribs) m |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
==Problem 16== | ==Problem 16== | ||
| − | Adams plans a profit of <math>10</math> | + | Adams plans a profit of <math>10\%</math> on the selling price of an article and his expenses are <math>15\%</math> of sales. The rate of markup on an article that sells for <math>\$5.00</math> is: |
<math>\textbf{(A)}\ 20\% \qquad | <math>\textbf{(A)}\ 20\% \qquad | ||
| Line 10: | Line 10: | ||
==Solution== | ==Solution== | ||
| + | Let the cost of the product be C, and the selling price be S. Since Adams wants a 10% profit on the sale, and his expenses are 15% of the sale, we add <math>0.10S</math> and <math>0.15S</math> to the cost to get the selling price. | ||
| + | Then, <math>S=C+0.15S+0.10S \Rightarrow 0.75S=C \Rightarrow S=\frac{4}{3}C \Rightarrow \fbox{D}</math>. | ||
==See Also== | ==See Also== | ||
Latest revision as of 23:05, 30 October 2024
Problem 16
Adams plans a profit of 
on the selling price of an article and his expenses are 
of sales. The rate of markup on an article that sells for 
is:
Solution
Let the cost of the product be C, and the selling price be S. Since Adams wants a 10% profit on the sale, and his expenses are 15% of the sale, we add 
and 
to the cost to get the selling price.
Then, 
.
See Also
| 1953 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 15 |
Followed by Problem 17 | |
| 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. 
