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There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.
- a)35 litres
- b)25 litres
- c)22 litres
- d)30 litres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are two cans, out of which one can contains 30% diesel and the r...
Let the cost of 1 litre kerosene be Rs.100
Kerosene in 1 litre mix in 1st can = 7/10
Cost price of 1 litre kerosene in 1st can = 70
Kerosene in 1 litre mix in 2nd can = 8/10
Cost price of 1 litre kerosene in 2nd can = 80
Kerosene in 1 litre of mixture = 5/7 litres
Mean price of mixture = 500/7
By rule of Alligation,
Ratio of kerosene mixed from containers
= (500/7 – 70) : (80 – 500/7) = 1 : 6
Total mixture = 35 litres
Required difference in amount = 35 × 6/7 – 35 × 1/7 = 25 litres
Kerosene in 1 litre mix in 1st can = 7/10
Cost price of 1 litre kerosene in 1st can = 70
Kerosene in 1 litre mix in 2nd can = 8/10
Cost price of 1 litre kerosene in 2nd can = 80
Kerosene in 1 litre of mixture = 5/7 litres
Mean price of mixture = 500/7
By rule of Alligation,
Ratio of kerosene mixed from containers
= (500/7 – 70) : (80 – 500/7) = 1 : 6
Total mixture = 35 litres
Required difference in amount = 35 × 6/7 – 35 × 1/7 = 25 litres
Most Upvoted Answer
There are two cans, out of which one can contains 30% diesel and the r...
Understanding the Problem
We have two cans:
- Can A: 30% diesel and 70% kerosene
- Can B: 20% diesel and 80% kerosene
We need to mix these to obtain 35 liters of kerosene with a diesel to kerosene ratio of 2:5.
Target Composition
To achieve a ratio of 2:5:
- Total parts = 2 (diesel) + 5 (kerosene) = 7 parts
- Diesel required = (2/7) * 35 liters = 10 liters
- Kerosene required = (5/7) * 35 liters = 25 liters
Calculating the Contribution of Each Can
Let:
- x = liters from Can A
- y = liters from Can B
We need to satisfy the following equations:
1. x + y = 35 (total volume)
2. 0.3x + 0.2y = 10 (total diesel)
From the first equation:
- y = 35 - x
Substituting in the second equation:
- 0.3x + 0.2(35 - x) = 10
- 0.3x + 7 - 0.2x = 10
- 0.1x = 3
- x = 30 liters (from Can A)
Now compute y:
- y = 35 - 30 = 5 liters (from Can B)
Calculating Kerosene Amounts
- Kerosene from Can A = 70% of 30 = 21 liters
- Kerosene from Can B = 80% of 5 = 4 liters
Finding the Difference
- Total kerosene = 21 + 4 = 25 liters
Thus, the difference between the amounts of kerosene from each can is:
- 30 - 5 = 25 liters
Final Answer
The difference in amounts of kerosene mixed from the containers is 25 liters. Therefore, the correct option is B.
We have two cans:
- Can A: 30% diesel and 70% kerosene
- Can B: 20% diesel and 80% kerosene
We need to mix these to obtain 35 liters of kerosene with a diesel to kerosene ratio of 2:5.
Target Composition
To achieve a ratio of 2:5:
- Total parts = 2 (diesel) + 5 (kerosene) = 7 parts
- Diesel required = (2/7) * 35 liters = 10 liters
- Kerosene required = (5/7) * 35 liters = 25 liters
Calculating the Contribution of Each Can
Let:
- x = liters from Can A
- y = liters from Can B
We need to satisfy the following equations:
1. x + y = 35 (total volume)
2. 0.3x + 0.2y = 10 (total diesel)
From the first equation:
- y = 35 - x
Substituting in the second equation:
- 0.3x + 0.2(35 - x) = 10
- 0.3x + 7 - 0.2x = 10
- 0.1x = 3
- x = 30 liters (from Can A)
Now compute y:
- y = 35 - 30 = 5 liters (from Can B)
Calculating Kerosene Amounts
- Kerosene from Can A = 70% of 30 = 21 liters
- Kerosene from Can B = 80% of 5 = 4 liters
Finding the Difference
- Total kerosene = 21 + 4 = 25 liters
Thus, the difference between the amounts of kerosene from each can is:
- 30 - 5 = 25 liters
Final Answer
The difference in amounts of kerosene mixed from the containers is 25 liters. Therefore, the correct option is B.
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There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer?
Question Description
There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer?.
There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two cans, out of which one can contains 30% diesel and the rest is kerosene and the other can contains 20% diesel and the rest is kerosene. Find the difference between the amounts of kerosene that should be mixed from containers to get 35 litres of kerosene so that the ratio of diesel to kerosene is 2 : 5.a)35 litresb)25 litresc)22 litresd)30 litresCorrect answer is option 'B'. Can you explain this answer?.
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