a ceramic vase was originally priced at $100 but went on sale for 50% off. if ernesto bought the ceramic…
a ceramic vase was originally priced at $100 but went on sale for 50% off. if ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Answer
Explanation:
Step1: Calculate sale - price
The original price is $100 and it's 50% off. The sale - price $P_{s}$ is calculated as $P_{s}=100\times(1 - 0.5)$. $P_{s}=100\times0.5 = 50$.
Step2: Calculate total price with tax
The sales tax is 12%. The total price $P_{t}$ that Ernesto paid is the sale - price plus the tax amount. The tax amount is $0.12\times P_{s}$. So $P_{t}=P_{s}(1 + 0.12)$. Substitute $P_{s}=50$ into the formula: $P_{t}=50\times(1 + 0.12)=50\times1.12 = 56$.
Answer:
56