Indian milk market contains two types of products cow’s milk and buffalo’s milk. Commercial milk should have 80% milk. The cost of commercial milk of cow and buffalo cost Rs. 20 and Rs. 15 per liter respectively. At market both can be sold at 60% profit. A milkman who sells 70% milk as 80% and also mixes cow and buffalo in the ratio 3 ∶ 4 and sells it as cow milk. What is the profit (%) he earns?

Indian milk market contains two types of products cow’s milk and buffalo’s milk. Commercial milk should have 80% milk. The cost of commercial milk of cow and buffalo cost Rs. 20 and Rs. 15 per liter respectively. At market both can be sold at 60% profit. A milkman who sells 70% milk as 80% and also mixes cow and buffalo in the ratio 3 ∶ 4 and sells it as cow milk. What is the profit (%) he earns? Correct Answer 113 1/3

Let the amount of milk and buffalo milk sold be 3x and 4x respectively.

Cost of 70% milk of cow = 70/80 × 20

⇒ Rs. 17.5

Cost of 70% milk of buffalo = 70/80 × 15

⇒ Rs. 13.125

Cost of 3 ∶ 4 mixture = 3/7 × 17.5 + 4/7 × 13.125

⇒ Rs. 15

Selling price of 1 liter of 80% milk of cow = (100 + 60)/100 × 20

⇒ Rs. 32

∴ Profit% = (Selling price of 1 liter of 80% milk of cow – Cost of 3 ∶ 4 mixture)/Cost of 3 ∶ 4 × 100

⇒ (32 – 15)/15 × 100

⇒ 113 1/3

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