Question

An appliance store decreases the price of a 19-inch television set by 25% to a sale price of $464.63. What was the original price?

a) $600
b) $500
c) $550
d) $620

Answer 1

To find the original price of the television, divide the sale price of $464.63 by 0.75. The calculation gives us $619.51, which rounds up to $620, corresponding to answer choice (d).

Step-by-step explanation:

The student asked for help in determining the original price of a 19-inch television that has been marked down by 25% to a sale price of $464.63. To find the original price, we need to recognize that the current price represents 75% of the original price, as a 25% decrease would leave 100% - 25% = 75% of the original price. Therefore, the original price can be found by dividing the sale price by 0.75 (which is 75% expressed as a decimal).

Step by step calculation:

• Divide the sale price of $464.63 by 0.75 to find the original price.
• $464.63 / 0.75 = $619.51

Therefore, the original price of the television is closer to answer (d) $620.