A is 16.66% less than B. If value of A is 500, then what is the value of B?

Options

A. 583.33
B. 566.66
C. 600
D. 620

Answer

To solve the problem step by step, we need to find the value of B given that A is 16.66% less than B and the value of A is 500.

### Step 1: Understand the relationship between A and B
We know that A is 16.66% less than B. This can be expressed mathematically as:
\[ A = B - (16.66\% \text{ of } B) \]

### Step 2: Convert the percentage to a decimal
The percentage 16.66% can be converted to a decimal by dividing by 100:
\[ 16.66\% = \frac{16.66}{100} = 0.1666 \]

### Step 3: Substitute the value of A into the equation
We know that A = 500, so we can substitute this value into the equation:
\[ 500 = B - (0.1666 \times B) \]

### Step 4: Simplify the equation
Now, we can simplify the equation:
\[ 500 = B(1 - 0.1666) \]
\[ 500 = B(0.8334) \]

### Step 5: Solve for B
To find B, we can divide both sides of the equation by 0.8334:
\[ B = \frac{500}{0.8334} \]

### Step 6: Calculate the value of B
Calculating the right-hand side:
\[ B \approx 600 \]

### Conclusion
Thus, the value of B is approximately 600.