A shopkeeper mixed low-quality vegetable oil costing Rs. 40 per litre with sunflower refined oil costing Rs. 80 per litre in the ratio of 2 ∶ 3 respectively. If he sold the mixture at Rs. 100 per litre, find his profit percentage.42.75%47.50%51.50%56.25%None
Question
A shopkeeper mixed low-quality vegetable oil costing Rs. 40 per litre with sunflower refined oil costing Rs. 80 per litre in the ratio of 2 ∶ 3 respectively. If he sold the mixture at Rs. 100 per litre, find his profit percentage.42.75%47.50%51.50%56.25%None
Solution
Step 1: Calculate the cost price of the mixture
The shopkeeper mixed the two types of oil in the ratio 2:3. This means for every 2 litres of low-quality oil, he added 3 litres of sunflower oil.
The cost of 2 litres of low-quality oil is 2 * Rs. 40 = Rs. 80 The cost of 3 litres of sunflower oil is 3 * Rs. 80 = Rs. 240
So, the total cost of the 5 litres of oil mixture is Rs. 80 + Rs. 240 = Rs. 320
Therefore, the cost price per litre of the mixture is Rs. 320 / 5 = Rs. 64
Step 2: Calculate the profit
The selling price of the mixture is Rs. 100 per litre. So, the profit per litre is Rs. 100 - Rs. 64 = Rs. 36
Step 3: Calculate the profit percentage
The profit percentage is calculated as (Profit / Cost price) * 100
So, the profit percentage is (Rs. 36 / Rs. 64) * 100 = 56.25%
Therefore, the shopkeeper made a profit of 56.25% on the oil mixture. So, the correct answer is 56.25%.
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