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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • ? 600 are divided among A, B and C such that ? 40 more then 2/5th of A's share, ? 20 more then 2/7 th of B's Share and ? 10 more then 9/17 th of C's share, all are equal. What is B's share?


  • Options
  • A. ? 150
  • B. ? 185
  • C. ? 280
  • D. ? 285

  • Correct Answer
  • ? 280 

    Explanation

    2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = K
    Then, A = (5/2) x (K - 40), B = (7/2) x (K - 20), C = (17/9) x (K - 10)

    According to the question, A + B + C = 600
    ? (5/2) x ( K - 40) + (7/2) x (K - 20) + (17/9) x (K - 10) = 600
    ? 45 x (K - 40 ) + 63 x (K - 20) + 34 x (K - 10) = 10800
    ? 45K - 1800 + 63K - 1260 + 34K - 340 = 10800
    ? 142K - 3400 = 10800
    ? 142K = 10800 + 3400
    ? 142K = 14200
    ? K = 14200/142 =100
    ? B = (7/2) x (K - 20) = (7/2) x (100 - 20)
    = (7 x 80)/2 = 7 x 40
    = ? 280


  • More questions

    • 1. 
      A Shopkeeper purchased some books from a publication worth ? 750. Because of some reasons, he had to sell two-fifth part of the book at a loss of 15%. On which gain he should sell his rest of the books, so that he gets neither nor loss

    • Options
    • A. 10%
    • B. 9%
    • C. 12%
    • D. 15%
    • Discuss
    • 2. 
      A 200 m long rain is running at a speed of 54 km/hr. On the parallel and a different track, another train 300 m long is running at a speed of 72 km/hr. Both the trains are running in the same direction. Find out how much will it take the train to cross each other?

    • Options
    • A. 90 sec
    • B. 100 sec
    • C. 120 sec
    • D. 150 sec
    • Discuss
    • 3. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

    • Options
    • A. 5 : 7 : 8
    • B. 20 : 49 : 64
    • C. 38 : 28 : 21
    • D. None of these
    • Discuss
    • 4. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

    • Options
    • A. 40%
    • B. 42%
    • C. 44%
    • D. 46%
    • Discuss
    • 5. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

    • Options
    • A. 20 litres
    • B. 30 litres
    • C. 40 litres
    • D. 60 litres
    • Discuss
    • 6. 
      A certain number of men can do a piece of work in 80 days. If there were 10 men less, it could be finished in 20 days more. How many men are there in the starting?

    • Options
    • A. 45
    • B. 50
    • C. 40
    • D. 60
    • Discuss
    • 7. 
      When a 192 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available?

    • Options
    • A. 52
    • B. 68
    • C. 62
    • D. None of these
    • Discuss
    • 8. 
      The amount instalment will discharge on debit of Rs 3220 due in 4 year at 10 % simple interest?

    • Options
    • A. 500
    • B. 600
    • C. 700
    • D. None of these
    • Discuss
    • 9. 
      The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are?

    • Options
    • A. 35 years, 15 years
    • B. 38 years, 12 years
    • C. 40 years, 10 years
    • D. 42 years, 8 years
    • Discuss
    • 10. 
      Marks obtained by an student in 5 subjects are given below 25, 26, 27, 28, 29 in these obtained marks 27 is

    • Options
    • A. mode
    • B. median and mode
    • C. mean and median
    • D. both (a) and (c)
    • Discuss


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