A $480 TV was put on sale for 30% off. It didn't sell so the price was lowered an additional percent off the sale price making the new price $285.60. What was the second percent discount that was given?

Respuesta :

znk

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]