Question

6. The selling price of an article becomes 27/25 times the listed price due to the inclusion
of sales tax. Find the rate of sales tax. ​

Answer 1

Answer:

8%

Step-by-step explanation:

listed price of the article = x

rate of sales tax = s

x×(100+s)% = 27/25 x

(100+s)% = 27/25

100+s/100 = 27/25

100+s = 27×100/25 = 108

s = 108 - 100 = 8

rate of sales tax = 8%

Answer 2

Answer: The rate of sales tax is 8%

Step-by-step explanation:

Let the listed price of the article be x and the sales tax rate be r.

According to the problem, the selling price of the article becomes 27/25 times the listed price, so we have:

Selling price = 27/25 * listed price

Including sales tax, we get:

Selling price = listed price + (sales tax rate * listed price)

27/25 * listed price = listed price + (r * listed price)

Simplifying the equation by multiplying both sides by 25, we get:

27 * x = 25 * x + 25 * r * x

Expanding and simplifying further, we get:

2 * x = 25 * r * x

Dividing both sides by x, we get:

2 = 25 * r

Therefore, the rate of sales tax is:

r = 2/25 = 0.08 or 8%

So, the rate of sales tax is 8%

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