A farmer mixes two varieties of rice, priced at ₹ 60 per kg and ₹ 30 per kg, in a ratio of 1 : 2. He sells the mixture for ₹ 3000, making a profit of 25%. Find the quantity of rice priced at ₹ 60 per kg in the mixture.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 20 kg.
Let the quantity of rice priced at ₹60 per kg = x kg
The quantity of ₹30 per kg rice = 2x kg
Total quantity = x + 2x = 3x kg
Cost price of the mixture:
₹60 rice: x × 60 = 60x
₹30 rice: 2x × 30 = 60x
Total cost price = 60x + 60x = 120x
Hence, cost price = 3000 ÷ 1.25 = ₹2400
⇒ 120x = 2400 ⇒ x = 2400 ÷ 120 = 20 kg