Understanding Percentage Calculation: Finding 54% of 4000

Percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is %. For example, 54% means 54 out of 100, or $\frac{54}{100}$.

To find a percentage of a number, you can convert the percentage to a decimal or a fraction and then multiply it by the number.

Calculating 54% of 4000

We need to calculate 54% of 4000. Here's how we do it:

Step 1: Convert the percentage to a fraction or decimal.

• As a fraction: $54\% = \frac{54}{100}$
• As a decimal: $54\% = 0.54$

Step 2: Multiply the fraction or decimal by the number (4000).

Using the fraction method:

$\text{54% of 4000} = \frac{54}{100} \times 4000$

We can simplify this calculation:

$\frac{54}{100} \times 4000 = 54 \times \frac{4000}{100}$

$\frac{4000}{100} = 40$

So, the calculation becomes:

$54 \times 40$

Now, let's perform the multiplication:

$54 \times 40 = 54 \times (4 \times 10) = (54 \times 4) \times 10$

Calculate $54 \times 4$:

$54 \times 4 = (50 + 4) \times 4 = (50 \times 4) + (4 \times 4) = 200 + 16 = 216$

Now, multiply by 10:

$216 \times 10 = 2160$

Using the decimal method:

$\text{54% of 4000} = 0.54 \times 4000$

$0.54 \times 4000 = 54 \times 40$ (since $0.54 = \frac{54}{100}$ and $4000 = 40 \times 100$)

$54 \times 40 = 2160$

Result

Both methods give the same result. Thus, 54% of 4000 is 2160.

Comparing with Options

Let's compare our result with the given options:

• Option 1: 2025
• Option 2: 2172
• Option 3: 2232
• Option 4: 2160

Our calculated value, 2160, matches Option 4.

Revision Table: Key Percentage Concepts

Additional Information: Solving Percentage Problems

Percentage problems often involve three types of calculations:

1. Finding the percentage of a number (like in this problem).
2. Finding what percentage one number is of another number.
3. Finding the original number when a percentage of it is known.

For example, to find what percentage 200 is of 500, you calculate $\frac{200}{500} \times 100\% = \frac{2}{5} \times 100\% = 0.4 \times 100\% = 40\%$.

Understanding these different types helps in tackling various quantitative aptitude questions involving percentages. Practicing more examples with different numbers helps solidify the concept of finding a percentage of a given value like calculating 54% of 4000.