By how much is `30%` of 80 greater than `4/5`th of 25 ?

Options

A. 2
B. 4
C. 10
D. 15

Answer

To solve the question "By how much is 30% of 80 greater than 4/5th of 25?", we will follow these steps:

### Step 1: Calculate 30% of 80
To find 30% of 80, we use the formula:
\[ \text{Percentage} = \left(\frac{\text{Percentage Value}}{100}\right) \times \text{Total Value} \]
So, we calculate:
\[ 30\% \text{ of } 80 = \left(\frac{30}{100}\right) \times 80 \]
This simplifies to:
\[ = 0.3 \times 80 = 24 \]

### Step 2: Calculate 4/5th of 25
Next, we find 4/5th of 25 using the same multiplication approach:
\[ \frac{4}{5} \text{ of } 25 = \left(\frac{4}{5}\right) \times 25 \]
This simplifies to:
\[ = 4 \times 5 = 20 \]

### Step 3: Find the difference
Now we need to find out by how much 30% of 80 is greater than 4/5th of 25:
\[ \text{Difference} = 30\% \text{ of } 80 - \frac{4}{5} \text{ of } 25 \]
Substituting the values we calculated:
\[ \text{Difference} = 24 - 20 = 4 \]

### Final Answer
Thus, 30% of 80 is greater than 4/5th of 25 by **4**.

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