A's income is 25% more than B's income.find B's income in terms of A's income?

Formulate using direct proportion with percentages.

25 percent more is 1+.25

A = (1 + 0.25)B

B = A/1.25

B = 0.8 A

So B's income is 80 percent of A's income.

A's income is 25% more than B's income.find B's income in terms of A's income?

Tutors, please sign in to answer this question.

Formulate using direct proportion with percentages.

25 percent more is 1+.25

A = (1 + 0.25)B

B = A/1.25

B = 0.8 A

So B's income is 80 percent of A's income.

Let's use an example, and then derive a formula:

Suppose B's income is $100. A's income is 25% more, which is +$25, or $125.

So far, we have A = B + .25B

or A = 1.25B

To find B in terms of A, we divide both sides by 1.25:

A/1.25 = B,

which can be simplified to

B = A/(5/4)

or ** B = 4A/5 or B = 0.8 A**

**
**This also means that B's income is 80%

## Comments