Question

What single percentage change is equivalent to a 12% decrease followed by a 13% decrease?

Answer 1

The % decrease will be 24.44%

say that the original number is x.

(u/x)*100=12

u=12x/100

x-(12x/100)=(100x-12x)/100=88x/100

Now (u/88x/100) *100=13

(50u/44x)*100=13

u=13*44x/5000

u=572x/5000

(88x/100)-(572x/5000)=(4400x-572x)/5000=3828x/5000=0.7656x

Thus x-0.7656x=0.2444x

Therefore there will be a decrease by 24.44%

Explanation:

Answer 2

The % decrease will be 24.44%

Explanation:

Let's say that the original number is x.

(u/x)*100=12

u=12x/100

x-(12x/100)=(100x-12x)/100=88x/100

Now (u/88x/100) *100=13

(50u/44x)*100=13

u=13*44x/5000

u=572x/5000

(88x/100)-(572x/5000)=(4400x-572x)/5000=3828x/5000=0.7656x

Thus x-0.7656x=0.2444x

Therefore there will be a decrease by 24.44%

You can evaluate this equation by using real time values, which will be a much easier calculation.