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3 votes
Find the original price given the total amount and tip rate

Total price-$307.32
Tip rate- 20%

2 Answers

2 votes

To find the original price (before the tip) when you have the total price and tip rate, you can use the following formula:

Original Price = Total Price / (1 + Tip Rate)

In this case, the total price is $307.32, and the tip rate is 20%, which should be expressed as a decimal (0.20).

Original Price = $307.32 / (1 + 0.20)

Original Price = $307.32 / 1.20

Original Price = $256.10

So, the original price before the tip was $256.10.

User David Prun
by
8.5k points
3 votes

so we know the total amount is $307.32, so we can say that's the 100%, now, 20% of that is really for the tip, so 100% - 20% = 80%. So 20% is for the tip and the rest or 80% is really the original price.


\begin{array} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 307.32}}{\left( \cfrac{80}{100} \right)307.32} ~~ \approx ~~ \text{\LARGE 245.86}

User Pumpkinpro
by
7.9k points