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Ajith can do a piece of work in 10 days, Bala in 15 days. They work together for 5 days, the rest of the work is finished by Chand in two more days. They get Rs. 6000 as wages for the whole work.
Quantity I: What is the sum of Rs.100 and the daily wage of Bala?
Quantity II: What is the daily wage of Chand?
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be established
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Ajith can do a piece of work in 10 days, Bala in 15 days. They work to...
Ajith’s 5 days work = 50%
Bala’s 5 days work = 33.33%
Chand’s 2 days work = 16.66%[100- (50+33.33)] Ratio of contribution of work of Ajith, Bala and Chand = 3 : 2 : 1
Ajith’s total share = Rs. 3000
Bala’s total share = Rs. 2000
Chand’s total share = Rs. 1000
Ajith’s one day’s earning = Rs.600
Bala’s one day’s earning = Rs.400
Chand’s one day’s earning = Rs.500
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Most Upvoted Answer
Ajith can do a piece of work in 10 days, Bala in 15 days. They work to...
Quantity I: What is the sum of Rs.100 and the daily wage of Bala?

Ajith can do 1/10 of the work in 1 day.
Bala can do 1/15 of the work in 1 day.
Together, Ajith and Bala can do 1/10 + 1/15 of the work in 1 day = 3/30 + 2/30 = 5/30 = 1/6 of the work in 1 day.
In 5 days, they can do 5 * 1/6 = 5/6 of the work.
So, the remaining work is 1 - 5/6 = 1/6 of the work.
Chand completes 1/6 of the work in 2 days.
Therefore, Chand can do 1/6 * (1/2) = 1/12 of the work in 1 day.
Let the daily wage of Bala be x.
The daily wage of Bala is 1/15 of the work, so x = 1/15 of the total wages.
The total wages are Rs. 6000, so x = (1/15) * 6000 = Rs. 400.
The sum of Rs. 100 and the daily wage of Bala is 100 + 400 = Rs. 500.

Quantity II: What is the daily wage of Chand?

The daily wage of Chand is 1/12 of the work, so it is (1/12) * 6000 = Rs. 500.

Since Quantity I is 500 and Quantity II is also 500, the answer is (C) Quantity I = Quantity II.
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Ajith can do a piece of work in 10 days, Bala in 15 days. They work together for 5 days, the rest of the work is finished by Chand in two more days. They get Rs. 6000 as wages for the whole work.Quantity I: What is the sum of Rs.100 and the daily wage of Bala?Quantity II: What is the daily wage of Chand?a)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'E'. Can you explain this answer?
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