Find the ratio of the price of coffee to that of tea, when coffee costs `Rs. 24` per `100gm` and the tea costs `Rs. 80` per `kg`.

Options

A. `3:2`
B. `2:1`
C. `1:3`
D. `3:1`

Answer

To find the ratio of the price of coffee to that of tea, we will follow these steps:

### Step 1: Identify the cost of coffee and tea
- The cost of coffee is given as Rs. 24 per 100 grams.
- The cost of tea is given as Rs. 80 per kg.

### Step 2: Convert the cost of tea to the same unit as coffee
- Since 1 kg = 1000 grams, we can express the cost of tea per 100 grams.
- The cost of tea per 1000 grams (1 kg) is Rs. 80.
- To find the cost per 100 grams, we divide the cost by 10:
\[ \text{Cost of tea per 100 grams} = \frac{80 \text{ Rs}}{10} = 8 \text{ Rs} \]

### Step 3: Set up the ratio
- Now we have:
- Cost of coffee per 100 grams = Rs. 24
- Cost of tea per 100 grams = Rs. 8
- The ratio of the price of coffee to the price of tea can be set up as:
\[ \text{Ratio} = \frac{\text{Cost of coffee}}{\text{Cost of tea}} = \frac{24}{8} \]

### Step 4: Simplify the ratio
- To simplify the ratio \( \frac{24}{8} \):
- Divide both the numerator and the denominator by 8:
\[ \frac{24 \div 8}{8 \div 8} = \frac{3}{1} \]

### Step 5: Write the final answer
- Therefore, the ratio of the price of coffee to that of tea is:
\[ \text{Ratio} = 3 : 1 \]

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