Find the ratio of the price of coffee to that of tea, when coffee costs 35 per 100 g and tea costs Rs.70 per kilogram.

Answer

To find the ratio of the price of coffee to that of tea, we need to express both prices in the same unit. Here’s a step-by-step solution:

### Step 1: Convert the price of coffee to per kilogram
The price of coffee is given as Rs. 35 per 100 grams. To convert this to a price per kilogram (1000 grams), we can use the following calculation:

\[ \text{Price of coffee per kg} = \left(\frac{35 \text{ Rs}}{100 \text{ g}}\right) \times 1000 \text{ g} = 35 \times 10 = 350 \text{ Rs} \]

### Step 2: Identify the price of tea
The price of tea is given as Rs. 70 per kilogram.

### Step 3: Write the prices of coffee and tea
Now we have:
- Price of coffee = Rs. 350 per kg
- Price of tea = Rs. 70 per kg

### Step 4: Set up the ratio
Now we can set up the ratio of the price of coffee to the price of tea:

\[ \text{Ratio} = \frac{\text{Price of coffee}}{\text{Price of tea}} = \frac{350 \text{ Rs}}{70 \text{ Rs}} \]

### Step 5: Simplify the ratio
To simplify the ratio, we divide both numbers by 70:

\[ \text{Ratio} = \frac{350 \div 70}{70 \div 70} = \frac{5}{1} \]

### Final Answer
Thus, the ratio of the price of coffee to that of tea is **5:1**.

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