Rinku bought `"600 ml"` of juice and Ruchi bought `"2L"` of juice. Find the ratio of the juice bought by Rinku to that bought by Ruchi.

Options

A. `5:11`
B. `3:10`
C. `7:10`
D. `9:17`

Answer

To find the ratio of the juice bought by Rinku to that bought by Ruchi, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the quantities of juice bought**:
- Rinku bought 600 ml of juice.
- Ruchi bought 2 liters of juice.

2. **Convert all quantities to the same unit**:
- Since Rinku's juice is in milliliters (ml) and Ruchi's juice is in liters (L), we need to convert Ruchi's juice to milliliters.
- We know that 1 liter = 1000 milliliters.
- Therefore, 2 liters = 2 × 1000 ml = 2000 ml.

3. **Write the quantities in the same unit**:
- Rinku's juice = 600 ml
- Ruchi's juice = 2000 ml

4. **Set up the ratio**:
- The ratio of juice bought by Rinku to that bought by Ruchi is:
\[ \text{Ratio} = \frac{\text{Rinku's juice}}{\text{Ruchi's juice}} = \frac{600 \text{ ml}}{2000 \text{ ml}} \]

5. **Simplify the ratio**:
- Since both quantities are in milliliters, we can cancel out the "ml":
\[ \text{Ratio} = \frac{600}{2000} \]
- To simplify, we can divide both the numerator and the denominator by 200:
\[ \frac{600 \div 200}{2000 \div 200} = \frac{3}{10} \]

6. **Final Answer**:
- The ratio of the juice bought by Rinku to that bought by Ruchi is \( \frac{3}{10} \).