Percent question?

Question

If you suffer from a 25% cut in pay, what percentage increase do you need to get back to where you were before the pay cut?

Answer 1

(Pay) - .25(Pay) = .75(Pay)
.75(Pay) * X = (Pay)
X = (Pay)/.75(Pay) or X = 1/.75

X=1.333

What this means is that you need to make 133 percent of what you currently make, or a 33 percent increase. Remember that 100% is equal to 1.00 in decimal form.

Answer 2

33%

If your pay is $100, and you suffer a 25% pay cut you now make $75.

To get back to $100 you need to make another $25 which is 33% of 75.

Answer 3

Suppose your pay =$ 100
so your pay after cut =$100-$25=$75
Now Base pay $75 & have To get $100,
needs $ 25 inc
so 0n $75,inc needed=$25
on $1,inc needed=25/75
on $100(for %) =25*100/75=33.33%(app)

Answer 4

Considering that x is your initial salary, and y is the percentage increase you're looking for, here's what it looks like:
the cut: x-25%x = x - 25x/100 = x - x/4 = 3x/4
the supposed raise: 3x/4 + y%(3x/4) = 3x/4 + (y/100)(3x/4) = (3x/4) (1+y/100)
And after all this, your salary is equal to your initial value(x):
(3x/4)(1+y/100) = x => (3/4)(1+y/100) = 1 => 1+y/100 = 4/3 => 1+y/100 = 1+1/3 => y/100 = 1/3 => y = 100/3 = 33.33%

Answer 5

If you make X dollars as your pay, then a 25% cut in pay means your new pay is 0.75*X dollars. Written another way, your new pay is (3/4)*X dollars.

In order to get back to earning X dollars one needs to find out what number when multiplied by (3/4)*X dollars gives you X dollars as the answer.

That number is 4/3 or 1.33333...

(3/4)*(4/3) = 1 so your "new" pay [ (3/4)*X dollars] needs to be increased by 33.3333...% to equal your old pay of X dollars.

NOTE: 4/3 = 1.333...

Answer 6

lets say, for simple math, you make 100
you lose 25 % = 25 so you now have 75
For you to go from 75 to 100 you need to increase your pay by 33.3333 %

Answer 7

1/0.75 = 1.3333333333

You'll need a 1/3 pay increase to get back to your previous pay

Answer 8

33%

Answer 9

150%

Answer 10

33%