Quant Exam > Quant Questions > In what ratio must tea worth Rs. 60 per kg be...
Start Learning for Free
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
- a)3 : 2
- b)2 : 3
- c)4 : 3
- d)3 : 4
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs....
Most Upvoted Answer
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs....
Given:
Price of tea A = Rs. 60/kg
Price of tea B = Rs. 65/kg
Selling price of mixture = Rs. 68.20/kg
Profit = 10%
To find: Ratio in which tea A and tea B must be mixed
Solution:
Let us assume that tea A and tea B are mixed in the ratio of x:y
So, x units of tea A and y units of tea B are mixed to form (x+y) units of mixture.
Cost price of x units of tea A = Rs. 60x
Cost price of y units of tea B = Rs. 65y
Total cost price of (x+y) units of mixture = (60x + 65y)
Given, selling price of mixture = Rs. 68.20/kg
Profit = 10%
Profit% = (Profit/Cost Price) * 100
10% = [(Selling Price - Cost Price)/Cost Price] * 100
10% = [(68.20 - Cost Price)/(Cost Price)] * 100
10% = [68.20/Cost Price - 1] * 100
110% = 68.20/Cost Price * 100
Cost Price = 68.20/1.1 = Rs. 62/kg (approx.)
Now, using the assumption that tea A and tea B are mixed in the ratio of x:y, we can form an equation based on the cost price of the mixture.
Cost price of (x+y) units of mixture = 60x + 65y
= (60*(x+y)/(x+y))*(x+y) + (65*(x+y)/(x+y))*(x+y)
= (60x + 65y + 5x + 5y)
We know that the cost price of mixture = Rs. 62/kg (approx.)
So, (60x + 65y + 5x + 5y)/(x+y) = 62
=> 65x + 70y = 62(x+y)
=> 3x = 2y
=> x/y = 2/3
Therefore, tea A and tea B must be mixed in the ratio of 3:2 (option A is correct).
Price of tea A = Rs. 60/kg
Price of tea B = Rs. 65/kg
Selling price of mixture = Rs. 68.20/kg
Profit = 10%
To find: Ratio in which tea A and tea B must be mixed
Solution:
Let us assume that tea A and tea B are mixed in the ratio of x:y
So, x units of tea A and y units of tea B are mixed to form (x+y) units of mixture.
Cost price of x units of tea A = Rs. 60x
Cost price of y units of tea B = Rs. 65y
Total cost price of (x+y) units of mixture = (60x + 65y)
Given, selling price of mixture = Rs. 68.20/kg
Profit = 10%
Profit% = (Profit/Cost Price) * 100
10% = [(Selling Price - Cost Price)/Cost Price] * 100
10% = [(68.20 - Cost Price)/(Cost Price)] * 100
10% = [68.20/Cost Price - 1] * 100
110% = 68.20/Cost Price * 100
Cost Price = 68.20/1.1 = Rs. 62/kg (approx.)
Now, using the assumption that tea A and tea B are mixed in the ratio of x:y, we can form an equation based on the cost price of the mixture.
Cost price of (x+y) units of mixture = 60x + 65y
= (60*(x+y)/(x+y))*(x+y) + (65*(x+y)/(x+y))*(x+y)
= (60x + 65y + 5x + 5y)
We know that the cost price of mixture = Rs. 62/kg (approx.)
So, (60x + 65y + 5x + 5y)/(x+y) = 62
=> 65x + 70y = 62(x+y)
=> 3x = 2y
=> x/y = 2/3
Therefore, tea A and tea B must be mixed in the ratio of 3:2 (option A is correct).
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer?
Question Description
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. 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 In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer?.
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. 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 In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%? a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer?.
Solutions for In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. 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 tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
a)3 : 2b)2 : 3c)4 : 3d)3 : 4Correct answer is option 'A'. 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup