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Given:
A coat was marked down by 60 percent from its original price of $99.
Rate of sales tax = 8%
To find:
The final cost of the coat after including tax.
Solution:
We have,
Original price = $99
Rate of marked down = 60%
Rate of sales tax = 8%
Marked price = Original price - 60% of original price.
[tex]\text{Marked price}=99-\dfrac{60}{100}\times 99[/tex]
[tex]\text{Marked price}=99-59.4[/tex]
[tex]\text{Marked price}=39.6[/tex]
Now,
Final cost = Marked price + Sales tax
[tex]\text{Final cost}=39.6+\dfrac{8}{100}\times 39.6[/tex]
[tex]\text{Final cost}=39.6+3.168[/tex]
[tex]\text{Final cost}=42.768[/tex]
[tex]\text{Final cost}\approx \$42.77[/tex]
Therefore, the correct option is B.