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The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:
  • a)
    2 : 5
  • b)
    5 : 2
  • c)
    1 : 5
  • d)
    1 : 1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed ...
GIVEN:
Selling price of 1 kg mixture = 60
Profit percentage = 20%
FORMULA USED:
Cost Price of 1 kg of mixture = [100/ (100 + P%)] × Selling Price
CALCULATION:
Cost price of 1 kg of mixture = (100/120) × 60 = 50
By rule of alligations, we have:
Tea of 1st kind : tea of 2nd kind =
= (50 – 45) : (55 – 50)
= 5 : 5
= 1 : 1
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Most Upvoted Answer
The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed ...
Mixing of Tea to gain 20%

Problem: The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:

Solution:
Let the ratio be x : y. Then, cost price of 1 kg mixture = Rs. (55x/100 + 45y/100) = Rs. 11x/20 + 9y/20

Selling price of 1 kg mixture = Rs. 60
Profit earned = 20%

So, (SP of 1 kg mixture) - (CP of 1 kg mixture) = (20% of CP of 1 kg mixture)
=> 60 - (11x/20 + 9y/20) = (20/100)(11x/20 + 9y/20)
=> 12x - 9y = 24
=> 4x - 3y = 8 ...(i)

Also, x + y = 1 ...(ii)

Solving equations (i) and (ii), we get x = y = 1/2.
So, the required ratio is 1:1 or 1/2 : 1/2.

Therefore, the correct answer is (d) 1:1.
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The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:a)2 : 5b)5 : 2c)1 : 5d)1 : 1Correct answer is option 'D'. Can you explain this answer?
Question Description
The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:a)2 : 5b)5 : 2c)1 : 5d)1 : 1Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:a)2 : 5b)5 : 2c)1 : 5d)1 : 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:a)2 : 5b)5 : 2c)1 : 5d)1 : 1Correct answer is option 'D'. Can you explain this answer?.
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