1952 AHSME Problems/Problem 17
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Problem
A merchant bought some goods at a discount of 
of the list price. He wants to mark them at such a price that he can give a discount of of the marked price and still make a profit of of the selling price. The per cent of the list price at which he should mark them is:
Solution
Let 
represent the cost of the goods, and let 
, 
, and 
represent the list, selling, and marked prices of the goods, respectively. Hence, we have three equations, which we need to manipulate in order to relate and :
We find that 
. Hence, the percent of the list price which should be marked is 
.
See also
| 1952 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
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| All AHSME Problems and Solutions | ||
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