Studdy AI Logo
Math

QuestionWhat percent of the original price do you pay after a 25%25\% and then an additional 30%30\% off clearance items?

Studdy Solution

STEP 1

Assumptions1. The original price of the item is 100%100\% (as we are interested in the percentage of the original price). . The first discount is 25%25\% off the original price.
3. The second discount is an additional 30%30\% off the already discounted price.

STEP 2

First, let's calculate the price after the first discount. We can do this by subtracting the discount percentage from the original price.
Priceafter_first_discount=Original_price−DiscountfirstPrice_{after\_first\_discount} = Original\_price - Discount_{first}

STEP 3

Now, plug in the given values for the original price and the first discount to calculate the price after the first discount.
Priceafter_first_discount=100%−25%Price_{after\_first\_discount} =100\% -25\%

STEP 4

Calculate the price after the first discount.
Priceafter_first_discount=100%−25%=75%Price_{after\_first\_discount} =100\% -25\% =75\%

STEP 5

Now, let's calculate the price after the second discount. We can do this by subtracting the second discount percentage from the price after the first discount. However, note that the second discount is applied to the price after the first discount, not the original price.
Priceafter_second_discount=Priceafter_first_discount−(Priceafter_first_discounttimesDiscountsecond)Price_{after\_second\_discount} = Price_{after\_first\_discount} - (Price_{after\_first\_discount} \\times Discount_{second})

STEP 6

Now, plug in the given values for the price after the first discount and the second discount to calculate the price after the second discount.
Priceafter_second_discount=75%−(75%times30%)Price_{after\_second\_discount} =75\% - (75\% \\times30\%)

STEP 7

Convert the percentage to a decimal value.
30%=0.330\% =0.3Priceafter_second_discount=75%−(75%times0.3)Price_{after\_second\_discount} =75\% - (75\% \\times0.3)

STEP 8

Calculate the price after the second discount.
Priceafter_second_discount=75%−(75%times0.3)=75%−22.5%=52.5%Price_{after\_second\_discount} =75\% - (75\% \\times0.3) =75\% -22.5\% =52.5\%So, you end up paying 52.5%52.5\% of the original price.

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