Bissoy.com
Doctors Medicines MCQs Q&A

A vessel contains mixture of Bournvita and Complain in the ratio 4 ∶ 1 when 280 litre of mixture out taken out and same amount of Complain is added and now ratio is 9 ∶ 11. Find the final quantity of Complain.

A vessel contains mixture of Bournvita and Complain in the ratio 4 ∶ 1 when 280 litre of mixture out taken out and same amount of Complain is added and now ratio is 9 ∶ 11. Find the final quantity of Complain. Correct Answer 352 litre

Given:

Initial ratio of liquid Bournvita and Complain = 4 ∶ 1

First time replacement of the 280 litre mixture with Complain

Final ratio = 9 ∶ 11

Concept used:

Mixture is always taken out in the same ratio which is the initial ratio of ingredients of mixture.

Calculations:

Let the initial quantity of Bournvita and Complain be 4x and x

280 litre of mixture is taken out

So, The quantity of Bournvita which is taken out = (4/5) × 280 = 224

Remaining quantity Bournvita = 4x – 224

Similarly the quantity of Complain which is taken out = (1/5) × 280 = 56

Remaining quantity of Complain = x – 56

280 litre Complain is added into the remaining mixture

The total present quantity of Complain after added 20 litre = x – 56 + 280 = x + 224

∴ The present ratio between liquid Bournvita and Complain = (4x – 224)/(x + 224)

⇒ (4x – 224)/(x + 224) = 9 ∶ 11

⇒ 44x – 2464 = 9x + 2016

⇒ 35x = 4480

⇒ x = 128

Quantity of Complain in can = x + 224

⇒ 128 + 224 = 352 litre

∴ The final quantity of complain is 352 litre

Related Questions

There are two vessels A and B. Vessel A is containing 60L of Pure milk and vessel B is containing 28L of pure water. From vessel A, 8L of milk is taken out and poured into vessel B. Then, 6L of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity milk in vessel A to the quantity of pure water in vessel B?
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the quantity of whisky in the final mixture? I. In a vessel A whisky is 3/5th of the total mixture and 15 litres of mixture is taken out and same quantity of water is mixed into it. The content of vessel A is put into a container having whisky and water in the ratio 2 ∶ 1. II.The capacity of the container is 36 litre in which content of vessel is poured now in the resultant mixture water is 1 litre more than the whisky.   
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D.
20 L of pure water was added to a vessel containing 80 L of pure milk. 36 L of the resultant mixture was then sold and some more pure milk and pure water was added to the vessel in the respective ratio of 7 : 2. If the final quantity of water was 3 liters less than the initial quantity of water in the vessel, what was the quantity of pure milk that was added to the vessel? (in liters)
A vessel of capacity 2 litre has 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture ?
There are three vessels A, B and C having milk to water ratio as 3 : 5, 1 : 3 and 7 : y.  After adding mixture of vessel B to A, the milk to water ratio becomes 1 : 2 in A. Now 60% of mixture is taken out from vessel A and mixture of vessel C is mixed with remaining mixture of vessel A which results in a final milk to water ratio of 3 : 4. Find the value of y given that volume of B is 20 litres and volume of C is (7 + y) lires
Two vessels A and B contain mixture of alcohol and water such that A contains 25% alcohol and B contains 15% alcohol. Some part of mixture in vessel A is replaced by equal quantity of mixture from vessel B. How much quantity of the mixture was replaced if final mixture vessel 18% alcohol?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Quantity A∶  A 30 litre mixture of wine and water has wine and water in the ratio 5∶ 7. How much water must be drawn off so that the ratio of wine and water becomes 25∶ 19? Quantity B∶ A 35 litre mixture of wine and water has wine and water in the ratio 1∶ 3. How much water must be drawn off so that the ratio of wine and water becomes 1.75∶ 3.35? Quantity C∶ A 27 litre mixture of wine and water has wine and water in the ratio 3∶ 2. How much water must be drawn off so that the ratio of wine and water becomes 81∶ 11?
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ? ( in litres)
10 litre of mixture ‘A’ of Castrol oil and Petrol, containing 64% Petrol, is added to 5 litre of mixture B of Castrol oil and Petrol containing 55% Petrol, to get a mixture C. Then, 30 litre of mixture X containing 12% Castrol oil is added to mixture C. What is the percentage content of Castrol oil in the final mixture?