Math Percentage question

Question

The marked prices of articles X and Y are 120$ and 150$ respectively. An increase of 12% is imposed on article X. Find the % decrease of article Y so that they are sold at the same price.

Answer 1

If article X costs $120 and is marked up at a 12% increase, we have to find the new cost of article X by finding 12% of $120 and then adding it to the cost:

 

$120 x 0.12 = $14.40

$120 + $14.40 = $134.40

 

If article Y costs $150 and is marked down to be sold at the same price as article X ($134.4), then we can wok our same steps from the previous equation, just reversed to find the percentage decrease.

 

To find the dollar amount article Y decreased by:

$150-$134.40 =$15.60 

 

To find the percentage article Y decreased by:

($15.60/$150) x 100 = 10.4%