Sachin’s income is 25% more than Dileep’s income. By how much percentage is Dileep’s income less than Sachin’s income ?

Options

A. 0.15
B. 0.2
C. 0.18
D. 0.22

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Define Dileep's Income
Let Dileep's income be represented as \( D \).

### Step 2: Calculate Sachin's Income
Since Sachin's income is 25% more than Dileep's income, we can express Sachin's income \( S \) as:
\[ S = D + 0.25D = 1.25D \]

### Step 3: Find the Difference Between Sachin's and Dileep's Income
To find out how much Dileep's income is less than Sachin's income, we calculate the difference:
\[ \text{Difference} = S - D = 1.25D - D = 0.25D \]

### Step 4: Calculate the Percentage Difference
To find the percentage by which Dileep's income is less than Sachin's income, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Difference}}{S} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{0.25D}{1.25D} \right) \times 100 \]

### Step 5: Simplify the Expression
The \( D \) in the numerator and denominator cancels out:
\[ \text{Percentage} = \left( \frac{0.25}{1.25} \right) \times 100 \]
\[ \text{Percentage} = \left( \frac{1}{5} \right) \times 100 = 20\% \]

### Conclusion
Thus, Dileep's income is 20% less than Sachin's income.

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