Question

12. A number is decreased by 50%, and the resulting number is then increased by 300%. The original number is what percentage of the final number? F. 20% G. 25% H. 40% J. 50% K. 400% Sprance Ticket Learning Targets Percent Increase Percent Deco 7

Answer 1

50% means 50/100 = 0.5

300% means 300/100 = 3

Now,

A number, let it be "100" (you can take any number, the answer would be the same).

It is decreased by 50%, so

100 - (0.5)(100) = 50

Then, it is increased by 300%, so

50 + 3(50) = 200

So, we started off with 100 and now we're at 200.

The questions asks ORIGINAL is what percent of FINAL.

So, original was 100 and final is 200, essentially:

100 is what percent of 200??

100/200 = 0.5

In percentage,

0.5 * 100 = 50 %

J is the correct choice.