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  • Question

  • In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ?


  • Options
  • A. 15 kg
  • B. 25 kg
  • C. 35 kg
  • D. 45 kg

  • Correct Answer
  • 45 kg 

    Explanation

    Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.
    Let k be the quantity of third variety of oil in the final mixture.
    Let the ratio of initial quantity of oils be 'y'
    From given details,
    4x + 5 = 5y ..... (1)
    5x + 10 = 7y .....(2)
    8x + k = 9y ......(3)

    By solving (1) & (2), we get
    x = 5 & y = 5

    From (3) => k = 5

    Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.

    • More questions

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    • Options
    • A. Rs. 9,423
    • B. Rs. 10,250
    • C. Rs. 12,500
    • D. Rs. 10,500
      • Discuss
    • 2. 
      (100)0 is equivalent to :

    • Options
    • A. 0
    • B. 10
    • C. 1
    • D. 100
      • Discuss
    • 3. 
      Find the triplicate ratio of 7 : 5?

    • Options
    • A. 125 : 343
    • B. 343 : 125
    • C. 344 : 125
    • D. 343 : 126
      • Discuss
    • 4. 
      The sum to 12 terms of an AP is equal to the sum to 18 terms. What will be the sum to 30 terms for this series?

    • Options
    • A. 3
    • B. 2
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    • 5. 
      In what proportion must wheat at Rs. 1·60 per kg be mixed with wheat at Rs. 1·45 per kg. So that the mixture be worth Rs. 1·54 per kg?

    • Options
    • A. 2 : 3
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      • Discuss
    • 6. 
      A merchant has 50 kg. of sugar part of which he sells at 8 % profit and the rest at 18 % profit. He gains 14 % on the whole. The quantity sold at 18 % profit is ?

    • Options
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    • D. 35 kg
      • Discuss
    • 7. 
      4 vessels of equal sizes contains mixture of spirit and water. The concentration of spirit in 4 vessels are 60 %, 70 %, 75 % and 80 % respectively. If all the 4 mixtures are mixed, find in the resultant mixture the ratio of spirit to water ?

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    • A. 57 : 13
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      • Discuss
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    • Options
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    • D. 30 , 45
      • Discuss
    • 9. 
      In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is ?

    • Options
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      • Discuss
    • 10. 
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