A is `(1)/(3)` of B.
Find Ratio of `A:B=?`

Options

A. A) 3:1
B. B) 3:2
C. C) 1:3
D. D) 5:3

Answer

To find the ratio of A to B given that A is \( \frac{1}{3} \) of B, we can follow these steps:

### Step 1: Understand the relationship between A and B
We know that A is \( \frac{1}{3} \) of B. This can be expressed mathematically as:
\[ A = \frac{1}{3} B \]

### Step 2: Express B in terms of A
To find the ratio, we can express B in terms of A. Rearranging the equation gives us:
\[ B = 3A \]

### Step 3: Set up the ratio A:B
Now that we have both A and B in terms of A, we can set up the ratio:
\[ A : B = A : 3A \]

### Step 4: Simplify the ratio
We can simplify the ratio by dividing both parts by A (assuming A is not zero):
\[ A : B = 1 : 3 \]

### Conclusion
Thus, the ratio of A to B is:
\[ A : B = 1 : 3 \]