Coffe costing Rs. 250 per kg was mixed with chicory costing Rs. 75 per kg in the ratio 5:2 for certain blend. If the mixture with was sold at Rs. 230 per kg, find the gain or loss per cent .

Answer

To solve the problem step by step, we will find the cost price of the mixture, the selling price, and then calculate the gain or loss percentage.

### Step 1: Determine the quantities of coffee and chicory
The coffee and chicory are mixed in the ratio of 5:2. This means:
- Coffee = 5 kg
- Chicory = 2 kg

### Step 2: Calculate the total quantity of the mixture
Total quantity = Coffee + Chicory = 5 kg + 2 kg = 7 kg

### Step 3: Calculate the cost price of the coffee
Cost of coffee per kg = Rs. 250
Cost of 5 kg of coffee = 5 kg × Rs. 250/kg = Rs. 1250

### Step 4: Calculate the cost price of the chicory
Cost of chicory per kg = Rs. 75
Cost of 2 kg of chicory = 2 kg × Rs. 75/kg = Rs. 150

### Step 5: Calculate the total cost price of the mixture
Total cost price = Cost of coffee + Cost of chicory
Total cost price = Rs. 1250 + Rs. 150 = Rs. 1400

### Step 6: Calculate the cost price per kg of the mixture
Cost price per kg = Total cost price / Total quantity
Cost price per kg = Rs. 1400 / 7 kg = Rs. 200

### Step 7: Determine the selling price of the mixture
Selling price per kg = Rs. 230

### Step 8: Calculate the gain
Gain = Selling Price - Cost Price
Gain = Rs. 230 - Rs. 200 = Rs. 30

### Step 9: Calculate the gain percentage
Gain percentage = (Gain / Cost Price) × 100
Gain percentage = (Rs. 30 / Rs. 200) × 100 = 15%

### Final Answer
The gain percentage is 15%.

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