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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. 
      ?. x 4 ? 227 = 398
      ?. y 2 + 321 = 346

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

    • Options
    • A. Sunday
    • B. Saturday
    • C. Tuesday
    • D. Wednesday
    • Discuss
    • 3. 1, 4, 9, 16, 23, 25, 36

    • Options
    • A. 9
    • B. 23
    • C. 25
    • D. 36
    • Discuss
    • 4. 
      A sum of money is to be divided equally among P, Q and R in the respective ratio of 5 : 6 : 7 and another sum of money is to be divided between S and T equally. If S got ? 2100 less than P, then how much amount did Q receive?

    • Options
    • A. ? 2500
    • B. ? 2000
    • C. ? 1500
    • D. Couldn't be determined
    • Discuss
    • 5. 
      If a : b = b : c, then ratio a 4 : b 4 is equal to

    • Options
    • A. ac : b2
    • B. a2 : c2
    • C. c2 : a2
    • D. b2 : ac
    • Discuss
    • 6. 
      A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed.

    • Options
    • A. 3 km/h
    • B. 4 km/h
    • C. 4.5 km/h
    • D. 9 km/h
    • Discuss
    • 7. 
      A person can walk a certain distance and drive back in 6 h. He can also walk both ways in 10 h. How much time will he take to drive both ways?

    • Options
    • A. 2 h
    • B. 21/2 h
    • C. 51/2 h
    • D. 4 h
    • Discuss
    • 8. 
      Find the least number by which 175760 be devided to make it a perfect cube.

    • Options
    • A. 10
    • B. 20
    • C. 100
    • D. 5
    • Discuss
    • 9. 
      The roots of the equation x2 + px + q = 0 are equal if :

    • Options
    • A. p2 = 2q
    • B. p2 = 4q
    • C. p2 = - 4q
    • D. p2 = - 2q
    • Discuss
    • 10. 
      Two cubes have volumes in the ratio 1: 27, The ratio of their surface areas is?

    • Options
    • A. 1 : 3
    • B. 1 : 8
    • C. 1 : 9
    • D. 1 : 18
    • Discuss


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