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Tax deduction (Posted on 2018-08-22) Difficulty: 3 of 5
I'm visiting an unfamiliar state. This state has a sales tax of 6.1% but I don't know this. All I know is the tax rate is of the form a.b% where a and b are single digits.

I buy an item at a store and am able to deduce the tax rate from the item's price and the tax amount as listed on the receipt.

What is the minimum cost of the item that would allow me to make such a deduction?

Note: The tax amount listed on the receipt is rounded to the nearest cent.

No Solution Yet Submitted by Jer    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
in for a penny Comment 6 of 6 |
I have not looked at the slew of other answers, but I like to imagine agreement. At 6.0, 6.1, and 6.2% tax rates a $5.41 item distinguishes itself with 3 unique prices: 

$5.73   $5.74   $5.75   

raw price before rounding: 

5.7346   5.74   5.7454  

        program taxes

        implicit none

        real tax(3),cost(3)

        integer i,j,icost(3)

        data tax/.06,.061,.062/

           do i = 1,1000

                do j=1,3

                cost(j)=i*(1+tax(j))

                icost(j)=0.5+cost(j)

                enddo

                if(icost(1).ne.icost(2).and.icost(2).ne.icost(3))then

                print 2,i,icost,cost

                stop

                endif

2          format(i4,2x,3(i4,2x),2x,3(f7.2,2x))

           enddo

        end

rabbit-3:~ lord$ tax

 541   573   574   575     573.46   574.00   574.54 

Edited on August 22, 2018, 3:43 pm
  Posted by Steven Lord on 2018-08-22 15:33:14

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