What is sixty-five per cent of two-fifth of 1800 ?

Options

A. 454
B. 424
C. 456
D. 468

Answer

To solve the question "What is sixty-five per cent of two-fifth of 1800?", we can break it down into steps:

### Step 1: Calculate two-fifth of 1800
To find two-fifth of 1800, we multiply 1800 by \( \frac{2}{5} \).

\[ \text{Two-fifth of 1800} = 1800 \times \frac{2}{5} \]

### Step 2: Perform the multiplication
Now, we can simplify the multiplication. First, divide 1800 by 5:

\[ 1800 \div 5 = 360 \]

Now, multiply by 2:

\[ 360 \times 2 = 720 \]

So, two-fifth of 1800 is 720.

### Step 3: Calculate sixty-five percent of 720
Next, we need to find 65% of 720. To do this, we can convert 65% into a fraction:

\[ 65\% = \frac{65}{100} \]

Now, we multiply 720 by \( \frac{65}{100} \):

\[ \text{Sixty-five percent of 720} = 720 \times \frac{65}{100} \]

### Step 4: Perform the multiplication
We can simplify this calculation:

\[ 720 \times \frac{65}{100} = \frac{720 \times 65}{100} \]

Calculating \( 720 \times 65 \):

\[ 720 \times 65 = 46800 \]

Now, divide by 100:

\[ \frac{46800}{100} = 468 \]

### Final Answer
Thus, sixty-five percent of two-fifth of 1800 is **468**.

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