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

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

### 2 Answers by Expert Tutors

Charles C. | Effective Tutor for math, English, science, Coding, Test prepEffective Tutor for math, English, scien...
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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.
Jack M. | Keys to Chemistry, Calculus, Literature and MoreKeys to Chemistry, Calculus, Literature...
4.7 4.7 (309 lesson ratings) (309)
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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% of A's income, or 20% less than A's income.