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?

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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?

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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).

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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?

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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?.

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