219k views
15 votes
What was the original cost of the jacket.

What was the original cost of the jacket.-example-1

1 Answer

7 votes

Answer:

(c) $80

Explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

5% disount: (1 -5%)·p = $76 . . . . where p is the original price

p = $76/0.95 = $80 . . . . . . . the original price

10% discount: (1 -10%)·p = $72

p = $72/0.90 = $80

25% discount: (1 -25%)·p = $60

p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

  • add back that 5% to the 5%-discounted price: $76 +4 = $80
  • multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
User George Kerwood
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories