Question

income 25% more than of B how many percent is B's income less than that of a​

Answer 1

Here, income of A is 25% more than that of B. We're asked to find how much percent income of B is less than that of A.

Let the income of A and B be 'a' and 'b' respectively.

Let income of B is $\sf{x\,\%}$ less than that of A. Then we're going to express income of B as,

$\longrightarrow\sf{b=a-\dfrac{x}{100}\,a\quad\quad\dots(1)}$

Since income of A is 25% more than that of B,

$\longrightarrow\sf{a=b+\dfrac{25}{100}\,b}$

$\longrightarrow\sf{a=b+\dfrac{b}{4}}$

$\longrightarrow\sf{a=\dfrac{5b}{4}}$

$\longrightarrow\sf{b=\dfrac{4a}{5}}$

$\longrightarrow\sf{b=a-\dfrac{a}{5}}$

$\longrightarrow\sf{b=a-\dfrac{20}{100}\,a\quad\quad\dots(2)}$

Comparing (1) and (2), we get,

$\longrightarrow\sf{\underline{\underline{x=20\,\%}}}$

Hence income of B is 20% less than that of A.

Answer 2

Step-by-step explanation:

Here is your answer hope this helps you

Suppose B's income is $100. A's income is 25% more, which is +$25, or $125. This also means that B's income is 80% of A's income, or 20% less than A's income.

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