Math

QuestionFind the original price of an item that costs \$4.20 after a 20% price decrease. Options: a) \$4.40 b) \$5.04 c) \$5.00 d) \$4.96 e) \$5.25

Studdy Solution

STEP 1

Assumptions1. The cost of an item after a 20%20\% price decrease is $4.20\$4.20. . The price decrease is calculated from the original price of the item.

STEP 2

We need to find the original price before the decrease. We can do this by dividing the current price by the percentage that remains after the decrease.
Originalprice=Currentprice/(1Decreasepercentage)Original\, price = Current\, price / (1 - Decrease\, percentage)

STEP 3

Now, plug in the given values for the current price and decrease percentage to calculate the original price.
Originalprice=$.20/(120%)Original\, price = \$.20 / (1 -20\%)

STEP 4

Convert the percentage to a decimal value.
20%=0.220\% =0.2Originalprice=$4.20/(10.2)Original\, price = \$4.20 / (1 -0.2)

STEP 5

Calculate the value inside the parentheses.
10.2=0.81 -0.2 =0.8Originalprice=$4.20/0.8Original\, price = \$4.20 /0.8

STEP 6

Calculate the original price.
Originalprice=$4.20/0.8=$5.25Original\, price = \$4.20 /0.8 = \$5.25The original price of the item was $5.25\$5.25.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord