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:
  1/10​+1/15​=3/30​+2​/30=5/30​=1/6​
• Work done by A and B in 5 days:
  5×1​/6=5/6​

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:
  1/6​÷2=1/12​

Step 3: Wages Calculation

• Total amount = Rs. 1500

• Work done ratio:

  • A's total work = $frac{5}{10} = frac{1}{2}$
  • B's total work = $frac{5}{15} = frac{1}{3}$
  • C's total work = $frac{2}{12} = frac{1}{6}$

• Share of wages:

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

• 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

Related MCQs

Leave a Reply

Your email address will not be published. Required fields are marked *

Comment *

Name *

Email *

-- Select Reason -- Correction Suggestion

1 + 2 = ?

Post Comment