Quant Exam > Quant Questions > A container contains a mixture of two liquids...
Start Learning for Free
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
- a)23
- b)21
- c)19
- d)17
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A container contains a mixture of two liquids P and Q in the ratio 7 :...
Most Upvoted Answer
A container contains a mixture of two liquids P and Q in the ratio 7 :...
Let initial quantity of liquid P be = 7x
let initial quantity of liquid Q be = 5x
when 9 lts. of liquid is drawn off from both liquids
P = 9 x 7\12 = 21\4
Q = 9 x 5\12 = 15\4
Remaining liquids, P= 7x-21\4 and Q = 5x-15\4
since liquid Q has been mixed=> 5x-15\4+9 = 5x=21\4
given ratio of P:Q= 7:9
(7x-21\4):(5x+21\4) = 7:9
9(7x-21\4)=7(5x+21\4)
63x - 21X9\4 = 35x +21X7\4
63x-35x = 147\4+189\4
28x = 336\4
x = 336\4 X1\28
x = 3
therefore,initial quantity of liquid P = 7x i.e. 21 lts.
Free Test
FREE
| Start Free Test |
Community Answer
A container contains a mixture of two liquids P and Q in the ratio 7 :...
Given:
- The initial ratio of liquids P and Q in the container = 7:5
- 9 litres of mixture are drawn off
- The container is filled with Q
- The new ratio of P and Q becomes 7:9
To find: How many litres of liquid P was contained in the container initially?
Solution:
Let's assume that the container initially contains 7x and 5x liters of liquids P and Q respectively.
Step 1: Calculation of initial quantity
- Initial ratio of P and Q = 7:5
- Let the common ratio be k
- So, we can write 7x = 7k and 5x = 5k
- Simplifying, we get x = k
Therefore, the container initially contains 7k and 5k liters of liquids P and Q respectively.
Step 2: Calculation of quantity after drawing mixture
- 9 litres of mixture are drawn off from the container which contains a total of 7k+5k = 12k liters of liquid
- Therefore, the remaining liquid in the container = 12k - 9 = 3k liters
- Let the quantity of liquid Q that is added to the container be q
- So, the container now contains 3k + q liters of liquid Q and 7k liters of liquid P
Step 3: Calculation of new ratio
- According to the question, the new ratio of P and Q becomes 7:9
- So, we can write (7k)/(3k+q) = 7/9
- Simplifying, we get q = 10k/3
Step 4: Calculation of initial quantity of P
- We know that the initial quantity of liquid P in the container is 7k liters
- From step 2, we know that the container now contains 3k + q liters of liquid Q and 7k liters of liquid P
- Substituting the value of q from step 3, we get the total quantity of liquid in the container as (3k+10k/3) + 7k = 20k/3
- But we also know that 9 liters of mixture were drawn off from the container
- So, the initial quantity of liquid in the container = (20k/3) + 9 liters
- Equating this to the initial quantity of liquid P (7k liters), we get:
(20k/3) + 9 = 7k
- Simplifying, we get k = 3
- Therefore, the initial quantity of liquid P in the container = 7k = 7*3 = 21 liters
Therefore, the correct answer is option B (21 liters).
- The initial ratio of liquids P and Q in the container = 7:5
- 9 litres of mixture are drawn off
- The container is filled with Q
- The new ratio of P and Q becomes 7:9
To find: How many litres of liquid P was contained in the container initially?
Solution:
Let's assume that the container initially contains 7x and 5x liters of liquids P and Q respectively.
Step 1: Calculation of initial quantity
- Initial ratio of P and Q = 7:5
- Let the common ratio be k
- So, we can write 7x = 7k and 5x = 5k
- Simplifying, we get x = k
Therefore, the container initially contains 7k and 5k liters of liquids P and Q respectively.
Step 2: Calculation of quantity after drawing mixture
- 9 litres of mixture are drawn off from the container which contains a total of 7k+5k = 12k liters of liquid
- Therefore, the remaining liquid in the container = 12k - 9 = 3k liters
- Let the quantity of liquid Q that is added to the container be q
- So, the container now contains 3k + q liters of liquid Q and 7k liters of liquid P
Step 3: Calculation of new ratio
- According to the question, the new ratio of P and Q becomes 7:9
- So, we can write (7k)/(3k+q) = 7/9
- Simplifying, we get q = 10k/3
Step 4: Calculation of initial quantity of P
- We know that the initial quantity of liquid P in the container is 7k liters
- From step 2, we know that the container now contains 3k + q liters of liquid Q and 7k liters of liquid P
- Substituting the value of q from step 3, we get the total quantity of liquid in the container as (3k+10k/3) + 7k = 20k/3
- But we also know that 9 liters of mixture were drawn off from the container
- So, the initial quantity of liquid in the container = (20k/3) + 9 liters
- Equating this to the initial quantity of liquid P (7k liters), we get:
(20k/3) + 9 = 7k
- Simplifying, we get k = 3
- Therefore, the initial quantity of liquid P in the container = 7k = 7*3 = 21 liters
Therefore, the correct answer is option B (21 liters).
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer?
Question Description
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer?.
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer?.
Solutions for A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct 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 A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially?
a)23b)21c)19d)17Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
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