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At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discount?

PLZ HELP DUE TOMMOROW MORNING

2 Answers

4 votes

Answer:

16.4%

Explanation:

Step 1:

100% - 5% = 95%

100% - 12% = 88%

Step 2:


(95)/(100) = 0.95


(88)/(100) = 0.88

Step 3:


0.95*0.88x = 0.836x\\1-0.836=0.164\\0.164*100=16.4

Answer:

16.4%

User BFG
by
8.1k points
3 votes
Hello there! I can help you! So we are decreasing a price by 12% and then doing it again by 5%. We would pay 88% of the original price and then 95% of that sale price. To execute this better, let's make a real-world situation. Say that Mariana wants to buy a new pair of shoes that originally costed $100. The store has a tag for 12% off and then an additional 5% discount at the counter. How much would she pay for the shoes? What total discount does she get? Let's start by multiplying 100 by 88%. 100 * 88% (0.88) is 88. That's the first part. Now, we multiply that number by 95% to find the price at the counter. 88 * 95% (0.95) is 83.6. That's the price with both discounts. Mariana would pay $83.60 for the shoes, but what about the percent discount total? Let's subtract that price from 100 and see what we get. 100 - 83.6 is 16.4. Percents are parts of 100, so we don't need to do anymore simplifying. There. The total amount of discount is 16.4%.
User Sebas LG
by
8.3k points

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