Question

The price of a hard drive decreased from $180 to $144. The price then decreased again by the same percentage as it had during the first decrease. What is the difference between the original price of the hard drive and its new cost?

Answer 1

Answer:

The difference between the original price of the hard drive and its new cost is $64.8.

Step-by-step explanation:

Given:

Original price of the hard drive = $180

Decreased in price of hard drive = $144.

We need to find the the difference between the original price of the hard drive and its new cost.

Solution:

First we will find the percent in decrease of the hard drive.

we will find the difference in decrease of price.

difference in decrease of price = original cost -Decreased in price of hard drive = $\ 180-\ 144=\ 36$

percent in decrease of the hard drive is equal to difference in decrease of price divided by Original price of the hard drive and the multiplied by 100.

framing in equation form we get;

percent in decrease of the hard drive = $\frac{36}{180}\times 100=20\%$

Now Given:

Price is again decreased by same percent.

So we can say that;

decreased cost is equal to percent in decrease of the hard drive multiplied by Decreased in price of hard drive and then divided by 100.

framing in equation form we get;

Decreased cost = $\frac{20}{100}\times 144= \ 28.8$

New cost = Decreased in price of hard drive - Decreased in cost =$\ 144 - \ 28.8 = \ 115.2$

Now we will find the difference between the original price of the hard drive and its new cost.

To find the difference we will subtract the new cost from original cost.

framing in equation form we get;

Difference = $\ 180-\ 115.2= \ 64.8$

Hence the difference between the original price of the hard drive and its new cost is $64.8.