Let x = original price for the gift.
The gift is on sale for 40% off.
The sale price is x - 0.4x = 0.6x.
With a coupon for an additional 20% off the sale price, the new price is
0.6x - 0.2(0.6x) = 0.6x - 0.12x = 0.48x
The cost of the gift is 048x, where x = the original price.
The overall percent of the original cost is 48%
Answer:
The discounted cost of the gift is 0.48x.
Nick pays 48% of the original price for the gift.
x = the original price of the gift.