A grocer buys mustard oil at the rate of Rs. 34 a litre and repeseed oil at the rate of Rs. 30 a litre. He mixes the two in the ratio of 2:1 and sells the mixture at the rate of Rs. 36 a litre. What approximate profit percentage does he earn?

Options

A. `10%`
B. `8% `
C. `12%`
D. `16% `

Answer

To find the approximate profit percentage earned by the grocer, we can follow these steps:

### Step 1: Determine the cost of each type of oil.
- Mustard oil costs Rs. 34 per litre.
- Rapeseed oil costs Rs. 30 per litre.

### Step 2: Calculate the total cost of the oils based on the mixing ratio.
- The grocer mixes the oils in the ratio of 2:1. This means for every 2 litres of mustard oil, he uses 1 litre of rapeseed oil.
- Cost for 2 litres of mustard oil = 2 × 34 = Rs. 68
- Cost for 1 litre of rapeseed oil = 1 × 30 = Rs. 30

### Step 3: Calculate the total cost of the mixture.
- Total cost of the mixture = Cost of mustard oil + Cost of rapeseed oil
- Total cost = Rs. 68 + Rs. 30 = Rs. 98 for 3 litres of the mixture.

### Step 4: Determine the cost price per litre of the mixture.
- Cost price per litre = Total cost / Total litres
- Cost price per litre = Rs. 98 / 3 ≈ Rs. 32.67 (approximately).

### Step 5: Calculate the selling price of the mixture.
- The grocer sells the mixture at Rs. 36 per litre.

### Step 6: Calculate the profit per litre.
- Profit per litre = Selling price - Cost price
- Profit per litre = Rs. 36 - Rs. 32.67 ≈ Rs. 3.33 (approximately).

### Step 7: Calculate the profit percentage.
- Profit percentage = (Profit per litre / Cost price per litre) × 100
- Profit percentage = (3.33 / 32.67) × 100 ≈ 10.19%.

### Step 8: Conclusion.
- The approximate profit percentage earned by the grocer is about 10%.

---