Question

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales tax rate did Sam pay?

Answer 1

total cost of all materials is 28/- he paid 29.82 hence he paid 1.82  as tax

Answer 2

Cost of Brushes= $ 8

Cost of a palette =$ 5

Cost of Oil Paints = $ 15

Cost of all three (i.e brushes +oil paints +palette)= $8 + $5 +$15= $28

Total Amount paid including sales tax = $ 29.82

Let the value of sales tax = x%

→ 28 + x % of 28 = 29.82

→ 28 + $\frac{28x}{100}$ = 29.82

→ $\frac{28x}{100}$ = 29.82 - 28 =1.82

→ x = $\frac{1.82\times100}{28}=\frac{182}{28}=\frac{14\times13}{14\times2}=\frac{13}{2}$

Rate of sales tax = $\frac{13}{2}$%