What is the value of two- fifth of sixty- five percent of 750?

Options

A. 185.75
B. 195
C. 975
D. 243.75

Answer

To find the value of two-fifths of sixty-five percent of 750, we can break the problem down into steps:

### Step 1: Convert the percentage to a fraction
First, we need to convert 65% into a fraction.
\[ 65\% = \frac{65}{100} \]

### Step 2: Calculate 65% of 750
Next, we calculate 65% of 750 using the fraction we found:
\[ 65\% \text{ of } 750 = \frac{65}{100} \times 750 \]
To simplify this, we can multiply:
\[ = \frac{65 \times 750}{100} \]
Calculating \(65 \times 750\):
\[ 65 \times 750 = 48750 \]
Now divide by 100:
\[ \frac{48750}{100} = 487.5 \]

### Step 3: Find two-fifths of the result
Now we need to find two-fifths of 487.5:
\[ \text{Two-fifths of } 487.5 = \frac{2}{5} \times 487.5 \]
Calculating this:
\[ = \frac{2 \times 487.5}{5} \]
Calculating \(2 \times 487.5\):
\[ 2 \times 487.5 = 975 \]
Now divide by 5:
\[ \frac{975}{5} = 195 \]

### Final Answer
Thus, the value of two-fifths of sixty-five percent of 750 is:
\[ \boxed{195} \]

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