Question

You buy a pair of jeans at a department store. Jeans 39.99 Discount -10.00 Subtotal 29.99 Sales tax 1.95 Total 31.94 a. What is the percent of discount to the nearest percent? The percent of discount is ___%. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is ___% c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is ___%

Answer 1

a)

if 39.99 is the 100%, what is 10 in percentage? well

$\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 39.99&100\\ 10&x \end{array}\implies \cfrac{39.99}{10}=\cfrac{100}{x}$

solve for "x".

b)

now, with the discount, the amount is 29.99, thus if 29.99 is the 100%, what is 1.95 from it in percentage?

$\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 29.99&100\\ 1.95&x \end{array}\implies \cfrac{29.99}{1.95}=\cfrac{100}{x}$

solve for "x".

c)

the original price is 39.99, the markup on that is 60%, how much is that?
well 

$\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 39.99&100\\ x&60 \end{array}\implies \cfrac{39.99}{x}=\cfrac{100}{60}\implies 39.99\cdot 60=100x \\\\\\ \cfrac{39.99\cdot 60}{100}=x\implies 23.994=x$

now, after the discount, the price is 29.99, how much is 23.994 in percentage of 29.99?

well  $\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 29.99&100\\ 23.994&x \end{array}\implies \cfrac{29.99}{23.994}=\cfrac{100}{x}$

solve for "x".

Answer 2

Using concepts of percentage,

The discount offered on the jeans is 25 percent.

The sales tax charged on the jeans is 6.5 percent.

Markup on the jeans after allowing discount is 80 percent.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Marked price of jeans  = 39.99

Discount allowed = 10.00

Discount percent = $\frac{Discount\ allowed}{Marked\ price} *100$ = $\frac{10.00}{39.99}*100$ = 25% (approximately)

Sales tax = 1.95

Sales tax percent = $\frac{Sales\ tax}{Sales\ price} *100$ = $\frac{1.95}{29.99} *100 = 6.5%$% (approximately)

Markup of jeans  = 60%

Markup = 60% of 39.99 = 23.99 (approximately)

Markup percent after allowing discount  = $\frac{23.99}{29.99}*100$ = 80%

(approximately)

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