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Replacement Problems
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This lesson deals with the questions where some part of mixture is replaced with other liquid. This is the very important type of question and is often asked in the exams.

Abhishek Kumar
Love to explore life| UPSC Aspirant| Cleared SBI PO| Cleared BOB PO| NDA, AFCAT exam| Attended SSB thrice| Worked as Software engineer IBM

Unacademy user
Thanqq sir..concept are explained very well.It'easy to solve all the ques by this method .hoping for some more topics...
Abhishek Kumar
2 years ago
Thank you

  2. ABOUT ME: oCompleted B.Tech Cleared Bank Of Baroda Cleared SSC CHSL oUPSC Aspirant oCurrently working in IBM India o Email- bitus 1 oFollow: 1424

  3. TARGET AUDIENCE oBanking aspirant oSSC Aspirant

  4. PROBLEM 15: A 20 litre mixture of milk and water contains milk and water in the ratio 3:2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture? Soln: Let Wo be the amount of water in the mixture originally- 8 litres. Let WR be the amount of water in the mixture after the replacements have taken place Then 1- here R sthe amount o them xture replaced by milk neach ofthe steps, Mis the total volume ofthem ure andn he number oftimes he cycle is repeated. Therefore, WR-Ge : 2 litres. nce the mixture will have 18 litres of milk and 2 litres of water

  5. PROBLEM 16: A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2: 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x? Soln: The original mixture has to contain 24 liters milk and 36 liters water. Now we are doing a replacement, so the final volume is still 60. It should end up as 30 of milk and 30 of water Since we won't be adding any water, we need to take out 6 liters of water, which means 10 liters of the mixture i.e 4 ltr. milk and 6 Itr water. So x=10

  6. PROBLEM 17: A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is n contained by the container? Soln: Suppose a container contains x units of a liquid from which y units are taken out and replaced by water. After n operations, quantity of pure liquid (1-)" units. 72 1-2( 1- ) units. milk contained by the container now40 mik contained by the contaner now 4 40 1 -40 1- 10 9 9 9 40 4 9 9 9 100 29.16


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