2007 AMC 12A Problems/Problem 5

Revision as of 19:48, 28 September 2007 by 1=2 (talk | contribs) (Problem)

Problem

Last year Mr. Jon Q. Public received an inheritance. He paid $20\%$ in federal taxes on the inheritance, and paid $10\%$ of what he had left in state taxes. He paid a total of $$10500 for both taxes. How many dollars was his inheritance?

$(\mathrm {A})30000$ $(\mathrm {B})32500$ $(\mathrm {C})35000$ $(\mathrm {D})37500$ $(\mathrm {E})40000$

Solution

After paying his taxes, he has $.8*.9=.72$ of the inheritance left. Since 10500 is .28 of the inheritance, the whole inheritance is $\frac{10500}{0.28}=37500\  \mathrm{(D)}$.

See also

2007 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
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 AMC 12 Problems and Solutions