Question

A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another 30% o the sale price. What is the difference between this price and the price of the coat had it been marked down 60% all at once?A. $5. 80 B. $7. 40C. C. $10. 8 D. No difference; the resulting prices are the same

Answer 1

C. $10.80

Explanation:

Lets solve for first 30% discount

120/ 10 =12 (divided by 10 to get 10% of the whole)

12= 10% of 120

36= 30 % of 120 (multiplied by 3 to get 30%)

120-36= 84

Lets solve for second 30% discount

84/10 =8.4 (divided by 10 to get 10% of the whole)

8.4= 10% of 84

25.2 = 30% of 84 (multiplied by 3 to get 30%)

84-25.2=58.80 (subtracted the discount from the total to get the sale price)

Let's solve for what it would cost had they done 60% to begin with

120/10 = 12 (divided by 10 to get 10% of the whole)

12= 10% of 120

72= 60% of 120 (multiplied by 6 to get 60%)

120-72 = 48 (subtracted the discount from the total to get the sale price)

Let's solve for the difference between the two

58.80-48= 10.80