A's savings is 30% less than B's savings and B's sav-
ings is 20% less than Cs savings. By what percent-
age is C's savings more than A's savings?
Answers
Answer:
A = Income of Person A
B = Income of Person B
A = (1.00-0.20)×B
(1.00 because in this step we consider B as the 100%, and 0.20 because A earns 20% less than B)
=> A = 0.80 B
That's how you get the value of A.
Now imagine you didn't have the information that A is 80% of B, but the value of A.
To calculate the 0.80, you would do the following:
A/B = percentage
You divide A with B to know what percentage of B it is.
And this is exactly how we will calculate the other percentage, the one you asked for. You divide B with A. And we already know A, right? It's 0.80B, we already got that one.
So it’s:
B/0.80B = 1.00B/0.80B = 1.00/0.80 = 1.25
Here we assumed, that A is the 100%, so B is the 125%
125% - 100% = 25%
=> B earns 25% more money than A.
Answer:
A = Income of Person A
B = Income of Person B
A = (1.00-0.20)×B
(1.00 because in this step we consider B as the 100%, and 0.20 because A earns 20% less than B)
=> A = 0.80 B
That's how you get the value of A.
Now imagine you didn't have the information that A is 80% of B, but the value of A.
To calculate the 0.80, you would do the following:
A/B = percentage
You divide A with B to know what percentage of B it is.
And this is exactly how we will calculate the other percentage, the one you asked for. You divide B with A. And we already know A, right? It's 0.80B, we already got that one.
So it’s:
B/0.80B = 1.00B/0.80B = 1.00/0.80 = 1.25
Here we assumed, that A is the 100%, so B is the 125%
125% - 100% = 25%
=> B earns 25% more money than A. Nice job, B.