Question

Tomas wanted to buy a computer priced at $950. He waited for the store's annual clearnace sale and bought the computer for $712.50. What percent was the discount at the clearnace sale?

Answer 1

25%

Explanation:

Discount is given by x(1-r) = y, where x is the original price and r is the percentage (made into a decimal) that was discounted, while y is the price after the discount.

So, plugging the numbers given in, we have 950(1-r) = 712.50, as we don't know r. This is hard to find, so we replace (1-r) with m (just a random letter).

Therefore, we have 950m = 712.50. To find m, we divide 712.50 by 950, getting m = 0.75.

That is not our answer. Earlier, we subsituted (1-r) for m. Now, we subsitutite it back. m = 0.75 so 1-r = 0.75. Therefore, we get that r, the discount rate, is equal to 0.25, or 25%.