Ramesh bought two varieties of rice costing 45 Rs per kg and 55 Rs per kg and…
2025
Ramesh bought two varieties of rice costing 45 Rs per kg and 55 Rs per kg and mixed them in some ratio . Then he sold that mixture at 60 Rs per kg making a profit of 20% . What was the ratio of the mixture ?
- A.
2:3
- B.
1:4
- C.
2:5
- D.
1:1
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Correct answer: D
Key idea: The selling price is 60 Rs/kg and profit is 20%, so the cost price of the mixture must be 60 ÷ 1.2 = 50 Rs/kg.
Steps to find the ratio:
Let x kg be the rice costing 45 Rs/kg and y kg be the rice costing 55 Rs/kg.
The average cost per kg of the mixture is (45x + 55y)/(x + y), which must equal 50 Rs/kg.
Set up and solve the equation: 45x + 55y = 50x + 50y ⇒ 55y − 50y = 50x − 45x ⇒ 5y = 5x ⇒ x = y.
Answer: The mixture ratio is 1:1.