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:
Answer: Rs. 225
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: 1−5/6=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 =
- B's total work =
- C's total work =
-
Share of wages:
- A's share =
- B's share =
- C's share =
- A's share =
-
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
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