logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Alligation or Mixture See What Others Are Saying!
  • Question
  • A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?


  • Options
  • A. 5:3
  • B. 1:4
  • C. 4:1
  • D. 9:1

  • Correct Answer
  • 9:1 

    Explanation

    According to question,
    Quantity of Milk/Quantity of Water = 3/2
    Let us assume the product ratio = n.
    Quantity of Milk = 3n and Quantity of Water = 2n liters
    Quantity of Milk + Quantity of Water = 20 liters
    3n + 2n = 20 liters
    5n = 20 liters
    n = 20/5
    n = 4
    Quantity of Milk = 3n liters
    Put the value of n,
    Quantity of Milk = 3 x 4 = 12 liters
    Quantity of Water = 2n
    Quantity of Water = 2 x 4 = 8 liters
    If 10 liters of mixture are removed first time, we will find how much milk and water contain in mixture.
    ? 20 liters of mixture contains 12 liter of milk.
    ? 1 liters of mixture contains 12/20 liter of milk.
    ? 10 liters of mixture contains 10 x 12/20 liter of milk.
    ? 10 liters of mixture contains 6 liter of milk.
    ? 10 liters of mixture contains 4 liter of water.
    If 10 liters of mixture are removed, then amount of milk removed = 6 liters and amount of water removed = 4 liters.
    Remaining milk = 12 - 6 = 6 liters
    Remaining water = 8 - 4 = 4 liters
    10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters and water = 4 liters.
    If the process is repeated one more time and 10 liters of the mixture are removed second time, then
    If 10 liters of mixture are removed, Again we will find how much milk and water contain in the mixture.
    ? 20 liters of mixture contains 16 liter of milk.
    ? 1 liters of mixture contains 16/20 liter of milk.
    ? 10 liters of mixture contains 10 x 16/20 liter of milk.
    ? 10 liters of mixture contains 8 liter of milk.
    ? 10 liters of mixture contains 2 liter of water.
    If 10 liters of mixture are removed, then amount of milk removed = 8 liters and amount of water removed = 2 liters.
    Remaining milk = (16 - 8) = 8 liters.
    Remaining water = (4 - 2) = 2 liters.
    Now 10 liters milk is added => total milk = 18 liters and water will be 2 liters.
    The required ratio of milk and water in the final mixture obtained
    Quantity of milk/Quantity of Water= 18:2 = 9:1

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    More questions

    • 1. 
      A man can row 9 1/ 3 in still water and he finds that it takes him thrice as much time to row up than as to row down the same distance in river. The speed of the current is?

    • Options
    • A. 31 / 3 km/hr
    • B. 31/3 km/hr
    • C. 11/4 km/hr
    • D. 42/3 km/hr
    • Discuss
    • 2. The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

    • Options
    • A. Rs. 1100
    • B. Rs. 1200
    • C. Rs. 1000
    • D. Rs. 1840
    • Discuss
    • 3. Find: S.l. on Rs 3000 at 18% per annum for the period from 4th

    • Options
    • A. 118
    • B. 105
    • C. 108
    • D. 110
    • Discuss
    • 4. Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

    • Options
    • A. 5.5%
    • B. 6%
    • C. 6.5%
    • D. 7%
    • Discuss
    • 5. A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ?

    • Options
    • A. Rs. 1800
    • B. Rs. 2000
    • C. Rs. 1400
    • D. Rs. 1250
    • Discuss
    • 6. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

    • Options
    • A. 5%
    • B. 8%
    • C. 12%
    • D. 15%
    • Discuss
    • 7. The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ?

    • Options
    • A. Rs. 6000
    • B. Rs. 5550
    • C. Rs. 7500
    • D. Rs. 6580
    • Discuss
    • 8. 
      A boat has to travel upstream 20 km distance from point X of a river to points Y. The total time taken by boat in travelling from point X to Y and Y to X is 41 min 40 s. What is the speed of the boat?

    • Options
    • A. 66 km/h
    • B. 72 km/h
    • C. 48 km/h
    • D. Cannot be determined
    • Discuss
    • 9. Gopal borrowed some money at 12% simple interest. If he had to pay back Rs. 1280 after 5 years, in order to clear off the loan. How much did he borrow?

    • Options
    • A. Rs. 800
    • B. Rs. 620
    • C. Rs. 560
    • D. Rs. 480
    • Discuss
    • 10. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest

    • Options
    • A. 3%
    • B. 4%
    • C. 5%
    • D. 6%
    • Discuss


    Comments

    There are no comments.

Enter a new Comment