Cost of a packet of coffee powder and a litre of milk are ₹ 20 and ₹ 30 ,respectively.10 cups of coffee is made with one packet coffee powder and for each cup 200 mL of milk is used. If coffee is sold at 25% profit, the selling price of each cup of coffee is

Options

A. ₹`12.50`
B. ₹ 6.25
C. ₹ 8
D. ₹ 10

Answer

To solve the problem step by step, we will calculate the total cost of making 10 cups of coffee, and then determine the selling price per cup based on the desired profit margin.

### Step 1: Determine the cost of coffee powder and milk
- Cost of a packet of coffee powder = ₹20
- Cost of 1 litre of milk = ₹30

### Step 2: Calculate the total amount of milk needed for 10 cups of coffee
- Each cup of coffee requires 200 mL of milk.
- Total milk needed for 10 cups = 10 cups × 200 mL/cup = 2000 mL = 2 litres.

### Step 3: Calculate the total cost of milk
- Since we need 2 litres of milk, the cost will be:
- Cost of 2 litres of milk = 2 × ₹30 = ₹60

### Step 4: Calculate the total cost of making 10 cups of coffee
- Total cost (CP) = Cost of coffee powder + Cost of milk
- Total cost = ₹20 (coffee powder) + ₹60 (milk) = ₹80

### Step 5: Calculate the cost price (CP) of one cup of coffee
- Cost price of one cup = Total cost / Number of cups
- Cost price of one cup = ₹80 / 10 = ₹8

### Step 6: Calculate the selling price (SP) with a profit of 25%
- Selling price formula with profit = CP × (1 + Profit Percentage)
- Profit Percentage = 25% = 25/100 = 0.25
- Selling price = ₹8 × (1 + 0.25) = ₹8 × 1.25 = ₹10

### Conclusion
The selling price of each cup of coffee is ₹10.

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