If 2/3 of P = 1/5 of Q, then what is P : Q?

Options

A. `3:5`
B. `3:10`
C. `3:7`
D. `3:9`

Answer

To solve the problem, we start with the equation given in the question:

1. **Write the equation based on the problem statement:**
\[ \frac{2}{3} P = \frac{1}{5} Q \]

2. **Eliminate the fractions by cross-multiplying:**
\[ 2P \cdot 5 = 3Q \cdot 1 \]
This simplifies to:
\[ 10P = 3Q \]

3. **Rearrange the equation to express \(P\) in terms of \(Q\):**
\[ P = \frac{3}{10} Q \]

4. **Now, to find the ratio \(P : Q\), we can express it as:**
\[ \frac{P}{Q} = \frac{3}{10} \]

5. **Thus, the ratio \(P : Q\) can be written as:**
\[ P : Q = 3 : 10 \]

So, the final answer is:
\[ P : Q = 3 : 10 \]