the price of a suit that sells for $200 is reduced by 25%. By what percent must the price of the suit be increased to bring the price back to $200?

Given:

Price of a suit = $200

Reduced by 25%

Determine what percentage must the price of the suit be increased to bring back $200

Solution:

Determine first the price of the suit after being reduced by 25%, in order to do so, we need to convert 25% into decimal. In converting a percentage into decimal, simply divide the percentage by 100, hence in converting a decimal to percentage, multiply the decimal by 100.

• =25%/100
• = 0.25

Multiply 0.25 by 200.

=(0.25)(200)

= 50

Subtract 50 to 200 in order to get the price of the suit

= 200 - 50 

= $150

In order to determine what percentage must be $150 be increased in order to have $200 back, we simply divide 50, by 150 since we know that the difference between 200 and 150 is 50.

= 50 / 150

= 0.333333

Convert 0.333333 into percentage by multiplying 100.

=(0.33333)(100)

= 33.33%

To check if the percentage is correct, simply multiply 0.3333 by 150 and add the answer to 150.

= (0.33333)(150)

= 49.9995 or 50

= 50 + 150 

= $200

The price of the suit must be increased by 33.33% in order to get back to $200.