Question

Please Help!

The price of an item decreased by 10% each week for 4 weeks. What was the approximate percent of decrease of the price of the item after 4 weeks?
A 34%
B 40%
C 60%
D 66% ​

Answer 1

34%

Explanation:

Answer 2

A) 34%

Explanation:

Lets say that the price of this object was $100.

Then, we know that each week the price is reducing by 10%, so therefore, we take 10% of $100, and we have $10

If we subtract that from $100, ($100-$10), we find that the price has come down to $90 after the first reduction in the first week. We will now do this process three more times to get to the four weeks total.

10% of $90 dollars is 9 dollars, so therefore the price reduces to $90-$9, $81 after the second reduction in the second week.

Then we take 10% of $81 and then get $8.1. We subtract that from $81 and get $72.9

Then for the final reduction in the fourth week, we take 10% of $72.9, and we get $7.29. Take that from $72.9, and you get $65.61, which we can round to $66.

The question however asks how much was the approximate percantage in decresse over the 4 weeks. We see that the object went from $100 to $66, which is $34 decrease.

Now we simply find what percantage of $100 is $34, and that is 34%, which gives you option A.

Hope this helped.