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A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are:

A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are:

Explanation
Step 1: Work Done by A and B Together
  • A’s 1-day work = 1/10
  • B’s 1-day work = 1/15
  • A and B’s 1-day work together:
  • Work done by A and B in 5 days:
Step 2: Work Left for C
  • Total work = 1
  • Work remaining after A and B worked for 5 days:
    1 - frac{5}{6} = frac{1}{6}
  • C completes the remaining 1/6 of the work in 2 days, so C’s 1-day work:
Step 3: Wages Calculation

  • Total amount = Rs. 1500

  • Work done ratio:

    • A's total work = 510=12frac{5}{10} = frac{1}{2}
    • B's total work = 515=13frac{5}{15} = frac{1}{3}
    • C's total work = 212=16frac{2}{12} = frac{1}{6}

  • Share of wages:

    • A's share = 12×1500=750frac{1}{2} times 1500 = 750
    • B's share = 13×1500=500frac{1}{3} times 1500 = 500
    • C's share = 16×1500=250frac{1}{6} times 1500 = 250

  • Daily wages:

    • B worked 5 days, so B’s daily wage = 500/5 = Rs. 100
    • C worked 2 days, so C’s daily wage = 250/2 = Rs. 125
    • 100+125 = 225