total cost we want to charge 23.20, customer wants it broken down to our cost plus 10%, what is that number

Question

parts total = $23.20

 

customer wants to know cost of parts and will only pay 10%, how do I get that numberto come out to 23.20 because that is what I want to charge

 

Answer 1

So you want to charge the customer $23.20

Let the cost for you = C

 

$23.20 = C + 10% of C

           = C + 10% × C

           = C + 0.1 × C

           = 1.1 × C

C = 21.090909...... ≈ $21.09

 

If I understand your question, your customer is only willing to pay what your cost was plus 10%. Since you want them to pay $23.20, you should say it cost you $21.09 because if you add 10% to that, it will come out as 23.199 on the calculator, and they'll oblige to paying $23.20