Question

By what percent will the product of two numbers decrease if one is decreased by 75% and the other is decreased by 20%?

Answer 1

Answer:

80%

Step-by-step explanation:

Let the first number be "100" and the other number be "100" as well.

Their normal product would be:

100 * 100 = 10,000

Now, we need to decrease one by 75% and another by 20%. First, let's convert the percentages to decimals. Shown below:

75% = 75/100 = 0.75

20% = 20/100 = 0.2

First number is "100", so decrease it by 75% to get:

100 - 0.75(100)

= 100 - 75

= 25

Next number is also "100", so decrease it by 20% to get:

100 - 0.2(100)

= 100 - 20

= 80

The new product would eb:

80 * 25 = 2000

Original Product = 10,000

New Product = 2000

To find percentage decrease, we use the formula:

$\frac{New-Original}{Original}*100$

Lets substitute and find the answer:

$\frac{New-Original}{Original}*100\\\frac{2000-10000}{10000}*100=80$

So, the new product is 80% decreased