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In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg?
Most Upvoted Answer
In what ratio should two varieties of rice costing Rs.12 per kg and Rs...
Solution:
Given:
Cost of Rice A = Rs. 12 per kg
Cost of Rice B = Rs. 18 per kg
Cost of Rice C = Rs. 20 per kg
Ratio of Rice C in the final mixture = 4/2 = 2
Cost of the final mixture = Rs. 16 per kg
To Find:
Ratio in which Rice A and Rice B should be mixed
Method:
Let us assume that x kg of Rice A and y kg of Rice B are mixed to form the final mixture.
Cost of Rice A = Rs. 12 per kg
Cost of Rice B = Rs. 18 per kg
Therefore, cost of x kg of Rice A = 12x
And, cost of y kg of Rice B = 18y
Total cost of the mixture = 12x + 18y
Ratio of Rice C in the final mixture = 4/2 = 2
Therefore, the total quantity of the final mixture = (x + y + 2) kg
Cost of the final mixture = Rs. 16 per kg
Therefore, the total cost of the final mixture = 16(x + y + 2)
Now, we can form the following equation based on the above information:
(12x + 18y) / (x + y + 2) = 14
On solving the above equation, we get:
x/y = 1/1
Therefore, Rice A and Rice B should be mixed in the ratio of 1:1.
Answer:
Therefore, Rice A and Rice B should be mixed in the ratio of 1:1 to get the final mixture of Rs. 16 per kg.
Given:
Cost of Rice A = Rs. 12 per kg
Cost of Rice B = Rs. 18 per kg
Cost of Rice C = Rs. 20 per kg
Ratio of Rice C in the final mixture = 4/2 = 2
Cost of the final mixture = Rs. 16 per kg
To Find:
Ratio in which Rice A and Rice B should be mixed
Method:
Let us assume that x kg of Rice A and y kg of Rice B are mixed to form the final mixture.
Cost of Rice A = Rs. 12 per kg
Cost of Rice B = Rs. 18 per kg
Therefore, cost of x kg of Rice A = 12x
And, cost of y kg of Rice B = 18y
Total cost of the mixture = 12x + 18y
Ratio of Rice C in the final mixture = 4/2 = 2
Therefore, the total quantity of the final mixture = (x + y + 2) kg
Cost of the final mixture = Rs. 16 per kg
Therefore, the total cost of the final mixture = 16(x + y + 2)
Now, we can form the following equation based on the above information:
(12x + 18y) / (x + y + 2) = 14
On solving the above equation, we get:
x/y = 1/1
Therefore, Rice A and Rice B should be mixed in the ratio of 1:1.
Answer:
Therefore, Rice A and Rice B should be mixed in the ratio of 1:1 to get the final mixture of Rs. 16 per kg.
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In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg?
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In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg?.
In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio should two varieties of rice costing Rs.12 per kg and Rs. 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3 , would yield a mixture coasting Rs.16 per kg?.
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