Answer:
[tex]\boxed{15 \%}\\[/tex]
Step-by-step explanation:
A. First discount
[tex]\begin{array}{rcr}\text{ Original cost} & = &\$480.00 \\\text{ Less 30 \%} & = &-144.00 \\\text{ Sale price} & = & 336.00\\\text{ Less 2nd discount} & =& -x\\\text{ New price} & = &\$285.60 \\\end{array}\\[/tex]
The original price was $480.00.
The discount was 30 % calculated as
[tex]\text{Discount } = 480.00 \times \frac{30 }{100 }= 144.00\\[/tex]
Subtracting that from the original price gave the sale price of $336.00.
B. Second percent discount
The second discount was
x = 336.00 – 285.60 = $50.40
The percent discount was
[tex]\text{\% discount} = \frac{50.40 }{336.00 } \times 100 \% = 15 \%\\[/tex]
[tex]\boxed{ \text{The second percent discount was }15 \%.}\\[/tex]