Mathematics

A's income is 25% more than B's. Find out by how much percent is B's income less than A's ?

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Lets take B's income to be 100.

A's income is 25% more than B's income.

Hence,

A = $100 + 25\% \text{ of } 100$

⇒ A = $100 + \dfrac{25}{100} \times 100$

⇒ A = $100 + 25$

⇒ A = $125$

If A's income is 125, B's income = 25 less than A's.

B's percentage = $\dfrac{\text{A's income - B's income}}{\text{A's income}} \times 100$ %

= $\dfrac{(125 - 100)}{125} \times 100$ %

= $\dfrac{25}{125} \times 100$ %

= $\dfrac{1}{5} \times 100$ %

= $\dfrac{100}{5}$ %

= 20%

Hence, B's income is 20% less than A's.

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