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A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by mixing the Wheat of Rs.2.10 per kg and Rs.2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earned

  • a)
    2:5

  • b)
    2:1

  • c)
    2:3

  • d)
    2:7

  • e)
    2:9

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by m...
Solution:




  1. Calculate the cost price of the mixture:



    • Since there's a 25% profit on the selling price of Rs. 3/kg, the cost price = 3 / (1 + 25/100) = Rs. 2.4/kg.




  2. Apply the alligation rule:




    • The alligation rule states that the ratio of quantities of two ingredients in a mixture is inversely proportional to the difference of their prices from the mean price.



    • Mean price (cost price of the mixture) = Rs. 2.4/kg



    • Price of cheaper wheat = Rs. 2.10/kg



    • Price of costlier wheat = Rs. 2.52/kg



    • Difference between cheaper wheat and mean price = 2.40 - 2.10 = Rs. 0.30/kg



    • Difference between costlier wheat and mean price = 2.52 - 2.40 = Rs. 0.12/kg



    • Ratio of cheaper to costlier wheat = 0.12 : 0.30 = 2 : 5






Therefore, the ratio of the price of cheaper to the costlier quality in the mixture is 2:5.


So, the correct answer is option A: 2:5.
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Community Answer
A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by m...
Given:
Price of wheat 1 = Rs. 2.10 per kg
Price of wheat 2 = Rs. 2.52 per kg
Mixture price = Rs. 3 per kg
Profit = 25%

To find: Ratio of price of cheaper to the costlier quality in the mixture

Step-by-Step Solution:
Let's assume the cheaper wheat is mixed in the ratio of x and the costlier wheat is mixed in the ratio of y.

Then, the cost price of the mixture (CP) can be calculated as follows:
CP = (2.10x + 2.52y) / (x + y)

Since the mixture is sold at Rs. 3 per kg with a profit of 25%, the selling price (SP) can be calculated as follows:
SP = CP * 1.25 = (2.625x + 3.15y) / (x + y)

But we know that SP = Rs. 3 per kg
Therefore, (2.625x + 3.15y) / (x + y) = 3

Solving this equation, we get:
0.75x = 0.15y
x/y = 0.2/1

Therefore, the ratio of the price of cheaper to the costlier quality in the mixture is:
2:5 (since the cheaper wheat is Rs. 2.10 per kg and the costlier wheat is Rs. 2.52 per kg)

Hence, option A is the correct answer.
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A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by mixing the Wheat of Rs.2.10 per kg and Rs.2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earneda)2:5b)2:1c)2:3d)2:7e)2:9Correct answer is option 'A'. Can you explain this answer?
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A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by mixing the Wheat of Rs.2.10 per kg and Rs.2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earneda)2:5b)2:1c)2:3d)2:7e)2:9Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by mixing the Wheat of Rs.2.10 per kg and Rs.2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earneda)2:5b)2:1c)2:3d)2:7e)2:9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of wheat is sold at Rs.3 per Kg. This mixture is formed by mixing the Wheat of Rs.2.10 per kg and Rs.2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earneda)2:5b)2:1c)2:3d)2:7e)2:9Correct answer is option 'A'. Can you explain this answer?.
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