Quant Exam > Quant Questions > In what ratio must water be mixed with milk t...
Start Learning for Free
In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?
- a)6:1
- b)1:6
- c)1:4
- d)4:1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In what ratio must water be mixed with milk to gain 16 2/3 % on sellin...
Most Upvoted Answer
In what ratio must water be mixed with milk to gain 16 2/3 % on sellin...
Given:
- Gain on selling mixture at cost price = 16 2/3 % = 1/6
To find: Ratio of water to milk
Let's assume that we mix 1 unit of milk with some units of water. So, the total mixture will be 1 + x units.
We want to find the ratio of water to milk, so let's assume that we mix m units of water with 1 unit of milk. So, the total mixture will be m + 1 units.
Calculation:
- According to the question, gain on selling the mixture at cost price = 1/6
- Selling price of 1 unit of mixture = Cost price of 1 unit of mixture + Gain
- Let's assume that cost price of 1 unit of mixture = Rs. 1
- Selling price of 1 unit of mixture = Rs. 1 + Rs. 1/6 = Rs. 7/6
- Selling price of 1 unit of mixture = (m + 1) / (m + 1 + 1) * Selling price of 1 unit of water + 1 / (m + 1 + 1) * Selling price of 1 unit of milk (As the total mixture is m + 1 units and it contains m units of water and 1 unit of milk)
- Selling price of 1 unit of water = Cost price of 1 unit of water + Gain on 1 unit of water = Rs. 1 + Rs. 1/6 * Rs. 1 = Rs. 7/6
- Selling price of 1 unit of milk = Cost price of 1 unit of milk + Gain on 1 unit of milk = Rs. 1 + Rs. 1/6 * Rs. 1 = Rs. 7/6
- Substituting the values, we get: Rs. 7/6 = (m / (m + 2)) * Rs. 7/6 + (1 / (m + 2)) * Rs. 7/6
- Simplifying, we get: m = 5
- So, the required ratio of water to milk = 5:1 = 1:5
Therefore, the correct answer is option B) 1:6.
- Gain on selling mixture at cost price = 16 2/3 % = 1/6
To find: Ratio of water to milk
Let's assume that we mix 1 unit of milk with some units of water. So, the total mixture will be 1 + x units.
We want to find the ratio of water to milk, so let's assume that we mix m units of water with 1 unit of milk. So, the total mixture will be m + 1 units.
Calculation:
- According to the question, gain on selling the mixture at cost price = 1/6
- Selling price of 1 unit of mixture = Cost price of 1 unit of mixture + Gain
- Let's assume that cost price of 1 unit of mixture = Rs. 1
- Selling price of 1 unit of mixture = Rs. 1 + Rs. 1/6 = Rs. 7/6
- Selling price of 1 unit of mixture = (m + 1) / (m + 1 + 1) * Selling price of 1 unit of water + 1 / (m + 1 + 1) * Selling price of 1 unit of milk (As the total mixture is m + 1 units and it contains m units of water and 1 unit of milk)
- Selling price of 1 unit of water = Cost price of 1 unit of water + Gain on 1 unit of water = Rs. 1 + Rs. 1/6 * Rs. 1 = Rs. 7/6
- Selling price of 1 unit of milk = Cost price of 1 unit of milk + Gain on 1 unit of milk = Rs. 1 + Rs. 1/6 * Rs. 1 = Rs. 7/6
- Substituting the values, we get: Rs. 7/6 = (m / (m + 2)) * Rs. 7/6 + (1 / (m + 2)) * Rs. 7/6
- Simplifying, we get: m = 5
- So, the required ratio of water to milk = 5:1 = 1:5
Therefore, the correct answer is option B) 1:6.
Free Test
FREE
| Start Free Test |
Community Answer
In what ratio must water be mixed with milk to gain 16 2/3 % on sellin...
If he add 25 percentage of water the profit would have been 33%
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer?
Question Description
In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer?.
In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer?.
Solutions for In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In what ratio must water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?a)6:1b)1:6c)1:4d)4:1Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup