If the income of A is 20% less than income of b,then how much income of b is more than income of A ?

Options

A. 20 %
B. 25 %
C. 0.3
D. 0.35

Answer

Let's solve the problem step by step.

### Step 1: Define the incomes
Let the income of B be represented as \( B \). According to the problem, the income of A is 20% less than the income of B.

### Step 2: Calculate the income of A
If B's income is \( B \), then 20% of B can be calculated as:
\[ \text{20% of } B = \frac{20}{100} \times B = 0.2B \]
Thus, the income of A can be expressed as:
\[ A = B - 0.2B = 0.8B \]

### Step 3: Determine how much more B's income is than A's income
We need to find out how much more B's income is compared to A's income. This can be calculated as:
\[ B - A = B - 0.8B = 0.2B \]

### Step 4: Calculate the percentage difference
To find out how much more B's income is than A's income in percentage terms, we can use the formula:
\[ \text{Percentage more} = \left(\frac{B - A}{A}\right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage more} = \left(\frac{0.2B}{0.8B}\right) \times 100 \]
This simplifies to:
\[ \text{Percentage more} = \left(\frac{0.2}{0.8}\right) \times 100 = 0.25 \times 100 = 25\% \]

### Final Answer
Therefore, the income of B is 25% more than the income of A.

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