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Basic Math/adding percentages to dollar amounts

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Expert: Josh - 12/16/2008


Question
how would i add a sales tax of 6.25% to any dollar amount. i can't figure out how to add it to a dollar and cents amounts. example: what is sales tax of 6.25% of $10.27

Answer
Hi AJ

6.25% is equivalent to 0.0625.
Using a calculator, we multiply 10.27 by 0.0625 to get 0.641875. We round this to the nearest cent, i.e., $0.64. This is the sales tax added onto the price tag.

In general to add X% onto something that costs $P, we add P*(X/100) onto P. The final price including the sales tax is P+(1+X/100).

e.g., if something initially costs $5.00, including a 10% sales tax, the final cost is 5+(1+(10/100)) = $5.50

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Josh

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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.

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I have worked as a teaching assistant in college. My hope is that more people will share knowledge without boundary, give help without seeking recognition or monetary rewards.

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Bachelor degree in Engineering Science

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