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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. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 2. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 3. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss
    • 4. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
    • C. 1 ? A
    • D. {1, 2, 5} ? A
    • Discuss
    • 5. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss
    • 6. 
      1, 2, 4, 8, 16, 32, 64, (...), 256?

    • Options
    • A. 148
    • B. 128
    • C. 154
    • D. 164
    • Discuss
    • 7. 
      A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole?

    • Options
    • A. 150 m
    • B. 200 m
    • C. 125 m
    • D. 115 m
    • Discuss
    • 8. 
      8% of 96 =? of 1/25

    • Options
    • A. 19.2
    • B. 7.68
    • C. 1.92
    • D. None of these
    • Discuss
    • 9. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

    • Options
    • A. Rs. 35
    • B. Rs. 245
    • C. Rs. 350
    • D. Cannot be determined
    • E. None of these
    • Discuss
    • 10. 
      If the hands of a clock coincide in every 65 minutes (true time), in 24 hours the clock will gain:

    • Options
    • A. 10 10 minutes. 143
    • B. 9 12 minutes. 143
    • C. 11 12 minutes. 143
    • D. 12 10 minutes. 143
    • Discuss


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