Question

If I 50% increase is followed by a 33 1\3 % decrease is it greater, less than, or the same as the original

Answer 1

Answer:

Greater than.

Step-by-step explanation:

Let the original value be x.

A 50% increase in x is given by

x + 50%x

=> x + 0.5x

=> 1.5x

Followed by a 33 $\frac{1}{3}$ % decrease in the value gives:

1.5x - 33 $\frac{1}{3}$ %(1.5x)

=> 1.5x - 0.33(1.5x)

=> 1.5x - 0.495x

=> 1.005x

Since 1.005x is greater than the original value, x, then:

A 50% increase followed by a 33 $\frac{1}{3}$ % decrease gives a value that is greater than the original.