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Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?
  • a)
    80 litres
  • b)
    100 litres
  • c)
    120 litres
  • d)
    90 litres
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two equal vessels A and B contain 60% of sugar and 40% of sugar respec...
Initial Quantity of Vessel A: 80 litres

Let's assume the initial quantity of both vessels A and B is 'x' litres.

Initial Quantity of Sugar in Vessel A: 60% of x = 0.6x litres
Initial Quantity of Rava in Vessel A: 40% of x = 0.4x litres

Initial Quantity of Sugar in Vessel B: 60% of x = 0.6x litres
Initial Quantity of Rava in Vessel B: 40% of x = 0.4x litres

After taking out 40 litres of mixture from vessel A and replacing it with vessel B, the quantity of sugar and rava in vessel A changes as follows:

Quantity of Sugar in Vessel A after replacement:
(60% of x - (40/100) * (60% of x)) = (0.6x - 0.24x) = 0.36x litres

Quantity of Rava in Vessel A after replacement:
(40% of x + (40/100) * (60% of x)) = (0.4x + 0.24x) = 0.64x litres

Since the quantity of sugar in vessel B remains the same, the quantity of rava in vessel B after replacement can be calculated using the given final ratio:

Quantity of Rava in Vessel B after replacement: 19/16 * Quantity of Sugar in Vessel B = (19/16) * (0.6x) = 0.7125x litres

Since the quantity of rava in vessel A after replacement is equal to the quantity of rava in vessel B after replacement, we can equate the two:

0.64x = 0.7125x
0.0725x = 0
x = 0/0.0725
x = 80

Therefore, the initial quantity of the vessel is 80 litres. Hence, option B is the correct answer.
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Community Answer
Two equal vessels A and B contain 60% of sugar and 40% of sugar respec...
Vessel A Sugar and Rava ratio = 3 : 2 Vessel B sugar and Rava ratio = 2 : 3
Given,
(2x + 24)/(3x + 16) = 16/19
38x + 456 = 48x + 256
10x= 200
x = 20 litres
Initial quantity = x*5 = 100 litres
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Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?a)80 litresb)100 litresc)120 litresd)90 litresCorrect answer is option 'B'. Can you explain this answer?
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Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?a)80 litresb)100 litresc)120 litresd)90 litresCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?a)80 litresb)100 litresc)120 litresd)90 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?a)80 litresb)100 litresc)120 litresd)90 litresCorrect answer is option 'B'. Can you explain this answer?.
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