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DIRECTIONS for the question: Solve the following question and mark the best possible option.
A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?
- a)1 : 2 : 3
- b)5 : 3 : 6
- c)2 : 4 : 5
- d)34 : 13 : 33
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
DIRECTIONS for the question:Solve the following question and mark the ...
The trader makes of profit of 2/9th when he sells the mixture for Rs 46.20 / kg.
So the cost of the mixture is (46.2 × 9) / 11= Rs 37.80 / kg.
So the cost of the mixture is (46.2 × 9) / 11= Rs 37.80 / kg.
Suppose he mixes x, y and z kg of these respectively. Then, 34.5x + 36.5y + 41.2z = 37.8(x + y + z).
Simplifying this equation, we get 3.3x + 1.3y = 3.4z.
From the answer choices, the only set of values satisfying this equation is 5 : 3 : 6.
Most Upvoted Answer
DIRECTIONS for the question:Solve the following question and mark the ...
Given:
- Three varieties of sugar costing Rs 34.50/kg, Rs 36.50/kg, and Rs 41.20/kg
- Selling price of the mixture is Rs 46.20/kg
- The trader gains 22.22%
To Find:
- The ratio in which the three varieties of sugar were mixed
Assumption:
- The trader is mixing the three varieties in such a way that the selling price is the average of the cost price of the three varieties.
Solution:
Step 1: Calculation of the cost price of the mixture:
Let the trader mix the three varieties in the ratio of x : y : z.
Cost price of the mixture = (x * Rs 34.50) + (y * Rs 36.50) + (z * Rs 41.20) per kg
Step 2: Calculation of the selling price of the mixture:
Selling price of the mixture = Rs 46.20 per kg
Step 3: Calculation of the gain percentage:
Gain percentage = (Selling price - Cost price) / Cost price * 100
Given that the gain percentage is 22.22%, we can write:
22.22% = (46.20 - Cost price) / Cost price * 100
Step 4: Solving the equation:
22.22% = (46.20 - Cost price) / Cost price * 100
Simplifying, we get:
0.2222 = (46.20 - Cost price) / Cost price
Step 5: Calculation of the cost price of the mixture:
0.2222 * Cost price = 46.20 - Cost price
1.2222 * Cost price = 46.20
Cost price = 46.20 / 1.2222
Cost price = 37.81
Step 6: Calculation of the ratio:
Now, we need to find the ratio in which the three varieties of sugar were mixed.
Let's assume the ratio of the three varieties is x : y : z.
Using the cost price equation:
x * 34.50 + y * 36.50 + z * 41.20 = 37.81
Simplifying, we get:
34.50x + 36.50y + 41.20z = 37.81
To find the ratio, we need to find the values of x, y, and z.
Step 7: Solving the equation:
To solve the equation, we can test different values of x, y, and z until we find a combination that satisfies the equation.
One possible solution is x = 5, y = 3, and z = 6.
Substituting these values into the equation:
34.50 * 5 + 36.50 * 3 + 41.20 * 6 = 37.81
182.50 + 109.50 + 247.20 = 37.81
539.20 = 37.81
Hence, the ratio in which the three varieties of sugar were mixed is 5 : 3 : 6.
Therefore, the correct answer is option B) 5
- Three varieties of sugar costing Rs 34.50/kg, Rs 36.50/kg, and Rs 41.20/kg
- Selling price of the mixture is Rs 46.20/kg
- The trader gains 22.22%
To Find:
- The ratio in which the three varieties of sugar were mixed
Assumption:
- The trader is mixing the three varieties in such a way that the selling price is the average of the cost price of the three varieties.
Solution:
Step 1: Calculation of the cost price of the mixture:
Let the trader mix the three varieties in the ratio of x : y : z.
Cost price of the mixture = (x * Rs 34.50) + (y * Rs 36.50) + (z * Rs 41.20) per kg
Step 2: Calculation of the selling price of the mixture:
Selling price of the mixture = Rs 46.20 per kg
Step 3: Calculation of the gain percentage:
Gain percentage = (Selling price - Cost price) / Cost price * 100
Given that the gain percentage is 22.22%, we can write:
22.22% = (46.20 - Cost price) / Cost price * 100
Step 4: Solving the equation:
22.22% = (46.20 - Cost price) / Cost price * 100
Simplifying, we get:
0.2222 = (46.20 - Cost price) / Cost price
Step 5: Calculation of the cost price of the mixture:
0.2222 * Cost price = 46.20 - Cost price
1.2222 * Cost price = 46.20
Cost price = 46.20 / 1.2222
Cost price = 37.81
Step 6: Calculation of the ratio:
Now, we need to find the ratio in which the three varieties of sugar were mixed.
Let's assume the ratio of the three varieties is x : y : z.
Using the cost price equation:
x * 34.50 + y * 36.50 + z * 41.20 = 37.81
Simplifying, we get:
34.50x + 36.50y + 41.20z = 37.81
To find the ratio, we need to find the values of x, y, and z.
Step 7: Solving the equation:
To solve the equation, we can test different values of x, y, and z until we find a combination that satisfies the equation.
One possible solution is x = 5, y = 3, and z = 6.
Substituting these values into the equation:
34.50 * 5 + 36.50 * 3 + 41.20 * 6 = 37.81
182.50 + 109.50 + 247.20 = 37.81
539.20 = 37.81
Hence, the ratio in which the three varieties of sugar were mixed is 5 : 3 : 6.
Therefore, the correct answer is option B) 5
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DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer?
Question Description
DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer?.
DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer?.
Solutions for DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer?, a detailed solution for DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONS for the question:Solve the following question and mark the best possible option.A trader mixes three varieties of sugar costing Rs 34.50 / kg, Rs 36.50 / kg and Rs 41.2 / kg. He sells the mixture for Rs 46.20 / kg and gains 22.22%. In what ratio did he mix the three varieties of sugar respectively?a)1 : 2 : 3b)5 : 3 : 6c)2 : 4 : 5d)34 : 13 : 33Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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