Sunil receives 20% discount on a concert ticket that costs $75.If Sunil pays $3.30 in sales tax on the discounted ticket, what is the sales tax rate?

Respuesta :

The sales tax rate is 5.5%

Step-by-step explanation:

First of all we have to calculate the ticket price with discount

Given

Ticket cost = c = $75

Discount = 20%

The discounted price will be:

[tex]Discount= 20\%\ of\ 75\\=0.20*75\\=\$15[/tex]

The discounted price will be:

[tex]Discounted\ Price = Ticket\ price - Discount\\= 75-15 = \$60[/tex]

Let r be the rate of sales tax

Then as given

[tex]3.30 = r\%\ of\ 60\\3.30 = 60r\\r=\frac{3.30}{60}\\r = 0.055\\r = 0.055*100 = 5.5\%[/tex]

Hence,

The sales tax rate is 5.5%

Keywords: Percentage, fractions

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Answer:5.5

Step-by-step explanation:

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