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  • Question
  • A alone can do a piece of work in 8 days while B alone can do it in 10 days. If they together complete this work and get ? 900 as their remuneration, then find the share of both the persons.


  • Options
  • A. A = ? 800 and B = ? 100
  • B. A = ? 500 and B = ? 400
  • C. A = ? 600 and B = ? 300
  • D. A = ? 300 and B = ? 600

  • Correct Answer
  • A = ? 500 and B = ? 400 

    Explanation

    A' s 1 day's work = 1/8
    B' s 1 day's work = 1/10
    ? A' s share : B' s share
    = 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
    Let A' s share = 5k
    and B' s share = 4k.
    According to the question,
    5k + 4k = 900
    ? 9k = 900
    ? k = 100
    ? A' s share = 5k = 5 x 100 = ? 500
    and B' s share = 4k = 4 x 100 = ? 400.


  • Work and Wages problems


    Search Results


    • 1. 
      A can do a piece of work in 9 days and B can do the same work in 15 days. if they work together, in what ratio A and B will receive their wages?

    • Options
    • A. 3 : 5
    • B. 5 : 3
    • C. 2 : 5
    • D. 5 : 2
    • Discuss
    • 2. 
      Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?

    • Options
    • A. 5 : 6
    • B. 3 : 2
    • C. 1 : 6
    • D. 5 : 7
    • Discuss
    • 3. 
      1, 5, 14, 30, 50, 55, 91?

    • Options
    • A. 5
    • B. 50
    • C. 55
    • D. 91
    • Discuss
    • 4. 
      Find out the wrong number in the series 125, 106, 88, 76, 65, 58, 53?

    • Options
    • A. 125
    • B. 106
    • C. 88
    • D. 76
    • Discuss
    • 5. 
      7, 8, 18, 57, 228, 1165, 6996?

    • Options
    • A. 8
    • B. 18
    • C. 57
    • D. 228
    • Discuss
    • 6. 
      A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed ? 225. Find the share of A.

    • Options
    • A. ? 90
    • B. ? 75
    • C. ? 95
    • D. ? 65
    • Discuss
    • 7. 
      P, Q and R enter into a contract for a piece of the work for ? 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?

    • Options
    • A. ? 750
    • B. ? 350
    • C. ? 4751
    • D. ? 900
    • Discuss
    • 8. 
      A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?

    • Options
    • A. $250, $100, $100
    • B. $225, $150, $75
    • C. $200, $150, $100
    • D. $175, $175, $100
    • Discuss
    • 9. 
      Two men, A and B, working together, completed a piece of work. If worked individually, it would have taken them 30 and 40 days to complete the work. If they have received a payment of $2100, then B's share is:

    • Options
    • A. $900
    • B. $1200
    • C. $800
    • D. $1300
    • Discuss
    • 10. 
      A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B's share is:

    • Options
    • A. $80
    • B. $240
    • C. $100
    • D. $120
    • Discuss


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