Difference between revisions of "1992 AJHSME Problems/Problem 8"

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== Problem ==
 
== Problem ==
  
A store owner bought <math>1500</math> pencils at <dollar/>0.10 each.  If he sells them for <dollar/>0.25 each, how many of them must he sell to make a profit of exactly <dollar/>100.00?
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A store owner bought <math>1500</math> pencils at <math>\$0.10</math> each.  If he sells them for <dollar/>0.25 each, how many of them must he sell to make a profit of exactly <math>\$100.00</math>?
  
 
<math>\text{(A)}\ 400 \qquad \text{(B)}\ 667 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 1500 \qquad \text{(E)}\ 1900</math>
 
<math>\text{(A)}\ 400 \qquad \text{(B)}\ 667 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 1500 \qquad \text{(E)}\ 1900</math>

Revision as of 00:10, 3 July 2017

Problem

A store owner bought $1500$ pencils at $$0.10$ each. If he sells them for <dollar/>0.25 each, how many of them must he sell to make a profit of exactly $$100.00$?

$\text{(A)}\ 400 \qquad \text{(B)}\ 667 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 1500 \qquad \text{(E)}\ 1900$

Solution

$1500\times 0.1=150$, so the store owner is <dollar/>150 below profit. Therefore he needs to sell $150+100= 250$ dollars worth of pencils. Selling them at <dollar/>0.25 each gives $250/0.25= \boxed{\textbf{(C)}\ 1000}$.

See Also

1992 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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
All AJHSME/AMC 8 Problems and Solutions

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