Question

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?

Answer 1

`\boxed{15 \%}\\`

Explanation:

A. First discount

`\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}\\`

The original price was $480.00.

The discount was 30 % calculated as

`\text{Discount } = 480.00 * (30 )/(100 )= 144.00\\`

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

`\text{\% discount} = (50.40 )/(336.00 ) * 100 \% = 15 \%\\`

`\boxed{ \text{The second percent discount was }15 \%.}\\`