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Nihir mixes 30 litres of kerosene with 90 litres of petrol. After selling one-third of this mixture, he adds kerosene to replenish the quantity that he has sold. What is the current proportion of kerosene in the mixuture?
- a)2 : 3
- b)1 : 2
- c)1 : 3
- d)1 : 1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Nihir mixes 30 litres of kerosene with 90 litres of petrol. After sell...
The quantity of petrol and kerosene is as shown in the table.
Current proportion of kerosene in the mixture = 60 : (60 + 60)= 1 :2
Hence, option 2.
Current proportion of kerosene in the mixture = 60 : (60 + 60)= 1 :2
Hence, option 2.
Most Upvoted Answer
Nihir mixes 30 litres of kerosene with 90 litres of petrol. After sell...
To solve this problem, we need to first find the initial proportion of kerosene in the mixture and then determine the proportion after selling one-third of the mixture.
Initial Proportion of Kerosene in the Mixture:
The initial mixture contains 30 liters of kerosene and 90 liters of petrol. To find the proportion of kerosene, we need to calculate the ratio of kerosene to the total mixture.
Kerosene : Total Mixture = 30 : (30 + 90) = 30 : 120
= 1 : 4
Therefore, the initial proportion of kerosene in the mixture is 1 : 4.
Proportion After Selling One-Third of the Mixture:
If one-third of the mixture is sold, then the remaining mixture will be two-thirds of the original quantity. To calculate the remaining quantity of the mixture, we need to subtract one-third from one.
Remaining Quantity of Mixture = 1 - 1/3 = 2/3
Now, we need to find the quantity of kerosene in the remaining mixture. Since the kerosene is not sold, the quantity of kerosene remains the same. Therefore, the ratio of kerosene to the remaining mixture will be the same as the initial ratio of kerosene to the total mixture.
Kerosene : Remaining Mixture = 1 : 4
Therefore, the current proportion of kerosene in the mixture is 1 : 4, which is the same as the initial proportion.
However, the options provided in the question do not include the ratio 1 : 4. So, none of the given options are correct.
Initial Proportion of Kerosene in the Mixture:
The initial mixture contains 30 liters of kerosene and 90 liters of petrol. To find the proportion of kerosene, we need to calculate the ratio of kerosene to the total mixture.
Kerosene : Total Mixture = 30 : (30 + 90) = 30 : 120
= 1 : 4
Therefore, the initial proportion of kerosene in the mixture is 1 : 4.
Proportion After Selling One-Third of the Mixture:
If one-third of the mixture is sold, then the remaining mixture will be two-thirds of the original quantity. To calculate the remaining quantity of the mixture, we need to subtract one-third from one.
Remaining Quantity of Mixture = 1 - 1/3 = 2/3
Now, we need to find the quantity of kerosene in the remaining mixture. Since the kerosene is not sold, the quantity of kerosene remains the same. Therefore, the ratio of kerosene to the remaining mixture will be the same as the initial ratio of kerosene to the total mixture.
Kerosene : Remaining Mixture = 1 : 4
Therefore, the current proportion of kerosene in the mixture is 1 : 4, which is the same as the initial proportion.
However, the options provided in the question do not include the ratio 1 : 4. So, none of the given options are correct.
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Community Answer
Nihir mixes 30 litres of kerosene with 90 litres of petrol. After sell...
It should be 1:1
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Nihir mixes 30 litres of kerosene with 90 litres of petrol. After selling one-third of this mixture, he adds kerosene to replenish the quantity that he has sold. What is the current proportion of kerosene in the mixuture?a)2 : 3b)1 : 2c)1 : 3d)1 : 1Correct answer is option 'B'. Can you explain this answer?
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Nihir mixes 30 litres of kerosene with 90 litres of petrol. After selling one-third of this mixture, he adds kerosene to replenish the quantity that he has sold. What is the current proportion of kerosene in the mixuture?a)2 : 3b)1 : 2c)1 : 3d)1 : 1Correct 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 Nihir mixes 30 litres of kerosene with 90 litres of petrol. After selling one-third of this mixture, he adds kerosene to replenish the quantity that he has sold. What is the current proportion of kerosene in the mixuture?a)2 : 3b)1 : 2c)1 : 3d)1 : 1Correct 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 Nihir mixes 30 litres of kerosene with 90 litres of petrol. After selling one-third of this mixture, he adds kerosene to replenish the quantity that he has sold. What is the current proportion of kerosene in the mixuture?a)2 : 3b)1 : 2c)1 : 3d)1 : 1Correct answer is option 'B'. Can you explain this answer?.
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