# Equation Help

• Mar 18th 2014, 03:39 PM
jack16523
Equation Help
I am looking to find an equation for a work problem.

I am a broker of a service and get 6% discount off a RRP. value of eg 100.
- so my buy price will be 94.
- My supplier makes 5% on the price that I buy at eg. 89.53

is there an equation for knowing what my supplier buy price is from the RRP?

The RRP varies dramatically so could be 867, 350 etc and I need a generic calculation so that I can deduct a certain % from RRP to get my buying price and the supplier buying price.

Any help?
• Mar 18th 2014, 03:45 PM
SlipEternal
Re: Equation Help
Your buy price is (100-6)% = 94% of the RRP price. Your supplier get's 5% of that, so (100-5)% = 95% seems to be the amount you are looking for. So, your buy price is .94 RRP. Your supplier buying price is .893 RRP.
• Mar 18th 2014, 04:16 PM
jack16523
Re: Equation Help
thank you for that. Is there a general rule that I can run to find the supplier buying price and my buying price regardless of the RRP price.
• Mar 18th 2014, 04:26 PM
SlipEternal
Re: Equation Help
What you are asking is similar to choosing the winner of a contest without knowing who the contestants are. If both of the prices you want to calculate are determined by this RRP, then you cannot determine them without the RRP.
• Mar 18th 2014, 05:19 PM
jack16523
Re: Equation Help
i am given the final price RRP. But how can i find the supplier buy (SBP) price in one calculation that when added by 5% will equal My Buy Price (MBP). MBP is calculated by RRP - 6%.

RRP - 6% = MBP
SBP + 5% = MBP

Hope that makes sense.
it is difficult to explain.

is there a way I can consistently find SBP by deducting a certain percentage from RRP
• Mar 18th 2014, 05:25 PM
SlipEternal
Re: Equation Help
So, $\text{MBP} = 1.05 \text{SBP}$ and $\text{MBP} = .94 \text{RRP}$. Setting those two equations equal gives $1.05\text{SBP} = .94\text{RRP}$. Solving for $\text{SBP}$ gives:

$\text{SBP} = \dfrac{94}{105}\text{RRP}$

If you prefer percentages, then SBP is approximately RRP - 10.58%