Problem 13 A milkman mixes 6 liters of free tap water with 20 liters of pure milk.
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Problem 13
A milkman mixes 6 liters of free tap water with 20 liters of pure milk. If the cost of pure milk is Rs. 28 per liter, the % profit of the milkman when he sells all the mixture at the cost price is:
Show answer & explanation
The total cost is the sum of the costs of the two types of rice, and the total revenue is the total weight multiplied by the selling price. The gain is the difference between total revenue and total cost.
Step-by-step Derivation:
Step 1: Calculate the cost of the first brand of rice: 30 kg * Rs. 75/kg = Rs. 2250.
Step 2: Calculate the cost of the second brand of rice: 20 kg * Rs. 70/kg = Rs. 1400.
Step 3: Calculate the total cost price (CP): Rs. 2250 + Rs. 1400 = Rs. 3650.
Step 4: Calculate the total weight of the mixture: 30 kg + 20 kg = 50 kg.
Step 5: Calculate the total selling price (SP): 50 kg * Rs. 80/kg = Rs. 4000.
Step 6: Calculate the gain: SP - CP = Rs. 4000 - Rs. 3650 = Rs. 350.