mehat gets a pay 20% more than that of Shah but 25% less than that of Zaveri. if Zaveri pay is rs.540 find Shah's pay.
Answers
Common sense is a good way to understand this problem, but if you'd be asked this question at school, you should answer it using “the mathematical way”. It might also be helpful if you want to generalize the concept of this calculation, so here is how you do it the fancy-variable-way:
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.
Let B’s income be 100
A’s income 20% less than B, means A's income should be
= 100 - 20 = 80
So B’s income is in percentage
= 100/80 × 100
= 125%
Thus B’s income is more than A by = 125% - 100% = 25%
Thus B’s income is 25% more than A’s salary.
Answer: B’s income is 25% percent more than A’s salary