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Home Aptitude Alligation or Mixture See What Others Are Saying!
  • Question
  • A shopkeeper buys 26 liter of milk @ Rs. 16 per liter. He also buys from another source an inferior quality of milk @ Rs. 10 per liter. How much quantity of the later should he buy to mix it with the former so that he can sell the mixture @ Rs. 14 per liter without making any loss?


  • Options
  • A. 13 liter
  • B. 12 liter
  • C. 14 liter
  • D. 16 liter

  • Correct Answer
  • 13 liter 

    Explanation

    Quantity of milk @ Rs.10 per liter / Quantity of milk @ Rs. 16 per liter = 1 / 2
    So, quantity of milk @ Rs. 10 per liter = 26 / 2 = 13 liter.

    2nd Method
    Let us assume shopkeeper buy P liter milk of price @ Rs. 10 per liter.
    Buy price of 26 liter of milk @ Rs. 16 per liter = 26 x 16
    Buy price of P liter of milk @ Rs. 10 per liter = P x 10
    Sell price of total milk ( P + 26 ) @ Rs. 14 per liter = 14 x ( P + 26 )
    According to question there is no loss or no profit.
    Then Buy Price = Sell Price
    26 x 16 + P x 10 = 14 x ( P + 26 )
    ? 26 x 16 + 10P = 14P + 14 x 26
    ? 26 x 16 - 26 x 14 = 14P - 10P
    ? 2 x 26 = 4P
    ? 4P = 2 x 26
    ? P = 2 x 26 / 4 = 13

    So, quantity of milk @ Rs. 10 per liter = 13 liter.


  • More questions

    • 1. In the following question, select the odd word from the given alternatives.

    • Options
    • A. Chennai
    • B. Daman
    • C. Raipur
    • D. Shimla
    • Discuss
    • 2. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

    • Options
    • A. 20
    • B. 30
    • C. 40
    • D. 50
    • Discuss
    • 3. Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

    • Options
    • A. 1/52
    • B. 1/26
    • C. 1/13
    • D. 1/2
    • Discuss
    • 4. In the following question, select the odd letter from the given alternatives.

    • Options
    • A. B
    • B. N
    • C. P
    • D. W
    • Discuss
    • 5. If 20% of a = b, then b% of 20 is the same as :

    • Options
    • A. 4% of a
    • B. 6% of a
    • C. 8% of a
    • D. 10% of a
    • Discuss
    • 6. 125% as a Fraction?

    • Options
    • A. 1/4
    • B. 3/4
    • C. 5/4
    • D. 7/4
    • Discuss
    • 7. A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

    • Options
    • A. 2/3
    • B. 1/8
    • C. 3/8
    • D. 3/4
    • Discuss
    • 8. If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

    • Options
    • A. 0 %
    • B. 25 %
    • C. 75 %
    • D. 50 %
    • Discuss
    • 9. In the following question, select the odd number from the given alternatives.

    • Options
    • A. 313
    • B. 426
    • C. 925
    • D. 1034
    • Discuss
    • 10. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

    • Options
    • A. 10000
    • B. 12000
    • C. 14000
    • D. 16000
    • Discuss


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