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astraxan [27]
3 years ago
6

The price of a four-year dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m

uch would it cost today?
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

The original price of a shirt was $20. It was decreased to $15 . What is the percent decrease of the price of this shirt.


Solution to Problem 1:


The absolute decrease is


20 - 15 = $5


The percent decrease is the absolute decrease divided by the the original price (part/whole).


percent decease = 5 / 20 = 0.25


Multiply and divide 0.25 to obtain percent.


percent decease = 0.25 = 0.25 * 100 / 100 = 25 / 100 = 25%


Problem 2:


Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?


Solution to Problem 2:


The part of her salary that is spent on food is $280 out of her monthly salary of $1200


percent = part / whole = 280 / 1200 = 0.23 (rounded to 2 decimal places)


Multiply and divide 0.23 by 100 to convert in percent


percent = 0.23 * 100 / 100 = 23 / 100 = 23%


Problem 3:


The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers?


Solution to Problem 3:


Let x be the original price and y be the absolute decrease. If the price was decreased to $30, then


x - y = 30


y is given by


y = 22% of x = (22 / 100) * x = 0.22 x


Substitute y by 0.22 x in the equation x - y = 30 and solve for x which the original price.


x - 0.22 x = 30


0.78 x = 30


x = $38.5


Check the solution to this problem by reducing the origonal price found $38.5 by 22% and see if it gives $30.


Problem 4:


The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?


Solution to Problem 4:


First decrease in percent


part / whole = (120 - 100) / 120 = 0.17 = 17%


Second decrease in percent


part / whole = (100 - 80) / 100 = 0.20 = 20%

gave number of questions

same conccepttttt

thanxxxxx

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