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A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?
- a)9.375%
- b)8.33%
- c)7.2%
- d)7.5%
- e)6.66%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A cask is full of wine but it has a leak in the bottom. When one-fourt...
When one-fourth of the cask empties out due to the leak, the cask is replenished with water. This means that 25 units of wine have leaked out, and 25 units of water have been added, leaving 75 units of wine in the cask.
Next, when half of the cask has leaked out, it is again filled with water. At this point, an additional 37.5 units of wine (half of the remaining 75 units) have leaked out, and 37.5 units of water have been added. This leaves us with 37.5 units of wine in the cask.
Finally, when three-fourths of the cask leaks out, it is again filled with water. Another 28.125 units of wine (three-fourths of the remaining 37.5 units) have leaked out, and 28.125 units of water have been added. This leaves us with 9.375 units of wine in the cask.
Now, we need to calculate the percentage of wine in the cask. We divide the remaining units of wine (9.375) by the total capacity of the cask (100) and multiply by 100 to get the percentage:
(9.375 / 100) * 100 = 9.375%
Therefore, the correct answer is A. 9.375%.
Most Upvoted Answer
A cask is full of wine but it has a leak in the bottom. When one-fourt...
When one-fourth of the cask empties out due to the leak, the cask is replenished with water. This means that 25 units of wine have leaked out, and 25 units of water have been added, leaving 75 units of wine in the cask.
Next, when half of the cask has leaked out, it is again filled with water. At this point, an additional 37.5 units of wine (half of the remaining 75 units) have leaked out, and 37.5 units of water have been added. This leaves us with 37.5 units of wine in the cask.
Finally, when three-fourths of the cask leaks out, it is again filled with water. Another 28.125 units of wine (three-fourths of the remaining 37.5 units) have leaked out, and 28.125 units of water have been added. This leaves us with 9.375 units of wine in the cask.
Now, we need to calculate the percentage of wine in the cask. We divide the remaining units of wine (9.375) by the total capacity of the cask (100) and multiply by 100 to get the percentage:
(9.375 / 100) * 100 = 9.375%
Therefore, the correct answer is A. 9.375%.
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Community Answer
A cask is full of wine but it has a leak in the bottom. When one-fourt...
Given:
- The cask is initially full of wine.
- One-fourth of the cask empties out due to a leak at the bottom.
- The cask is replenished with water.
- When half of the cask has leaked out, it is filled with water again.
- When three-fourths of the cask has leaked out, it is filled with water again.
To Find:
The percentage of wine in the cask now.
Assumptions:
- The cask has a constant volume.
- The wine and water mix uniformly when replenished.
Solution:
Step 1: Initial State
- Let's assume the cask has a total volume of 100 units (to simplify calculations).
- Initially, the cask is full of wine, which means it contains 100 units of wine and 0 units of water.
Step 2: First Leak and Replenishment
- One-fourth of the cask empties out, which is 25 units of wine.
- The cask is replenished with water, so it now contains 75 units of wine and 25 units of water.
Step 3: Second Leak and Replenishment
- Half of the cask empties out, which is 50 units of wine.
- The cask is filled with water, so it now contains 25 units of wine and 75 units of water.
Step 4: Third Leak and Replenishment
- Three-fourths of the cask empties out, which is 75 units of wine.
- The cask is filled with water, so it now contains 0 units of wine and 100 units of water.
Step 5: Calculation of Percentage
- To find the percentage of wine in the cask, we need to divide the remaining wine volume by the total volume and multiply by 100.
- Remaining wine volume = 0 units
- Total volume = 100 units
- Percentage of wine = (0/100) * 100 = 0%
Answer:
The percentage of wine in the cask now is 0%.
Explanation:
- Due to the leaks and replenishments, all the wine has been replaced by water in the cask. Therefore, the percentage of wine is 0%.
- The cask is initially full of wine.
- One-fourth of the cask empties out due to a leak at the bottom.
- The cask is replenished with water.
- When half of the cask has leaked out, it is filled with water again.
- When three-fourths of the cask has leaked out, it is filled with water again.
To Find:
The percentage of wine in the cask now.
Assumptions:
- The cask has a constant volume.
- The wine and water mix uniformly when replenished.
Solution:
Step 1: Initial State
- Let's assume the cask has a total volume of 100 units (to simplify calculations).
- Initially, the cask is full of wine, which means it contains 100 units of wine and 0 units of water.
Step 2: First Leak and Replenishment
- One-fourth of the cask empties out, which is 25 units of wine.
- The cask is replenished with water, so it now contains 75 units of wine and 25 units of water.
Step 3: Second Leak and Replenishment
- Half of the cask empties out, which is 50 units of wine.
- The cask is filled with water, so it now contains 25 units of wine and 75 units of water.
Step 4: Third Leak and Replenishment
- Three-fourths of the cask empties out, which is 75 units of wine.
- The cask is filled with water, so it now contains 0 units of wine and 100 units of water.
Step 5: Calculation of Percentage
- To find the percentage of wine in the cask, we need to divide the remaining wine volume by the total volume and multiply by 100.
- Remaining wine volume = 0 units
- Total volume = 100 units
- Percentage of wine = (0/100) * 100 = 0%
Answer:
The percentage of wine in the cask now is 0%.
Explanation:
- Due to the leaks and replenishments, all the wine has been replaced by water in the cask. Therefore, the percentage of wine is 0%.
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A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer?
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A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer?.
A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer?.
Solutions for A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cask is full of wine but it has a leak in the bottom. When one-fourth of the cask empties out because of the leak, the cask is replenished with water. Next when half of the cask has leaked out, it is again filled with water. Finally when three-fourths of the cask leaks out, it is again filled with water. What is the percentage of wine in the cask now?a)9.375%b)8.33%c)7.2%d)7.5%e)6.66%Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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