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HI Juanda, I assume that you know the sales tax as a percentage. Suppose the customer cost before the tax is added is $\$C,$ the customer cost after the tax is added is $\$T,$ and the tax is $p\%.$ Then if you are the sales clerk and know $C$ then you calculate $T$ by \[C + \frac{p}{100} \times C = T.\] The left side can be simplified to obtain \[C \left( 1 + \frac{p}{100}\right) = T.\] Dividing both sides by $1 + \large \frac{p}{100}$ gives \[C = \frac{T}{1 + \frac{p}{100}}. \] For example where I live in Saskatchewan Canada most items have a 5% Provincial Sales Tax and a 5% Goods and Services Tax and hence the tax rate is 10%. Thus if I bought an item and paid $\$14.25$ tax included then the cost before the tax was $\large \frac{\$14.25}{1.10} \normalsize = \$12.95.$ I hope this helps, | ||||||||||||
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