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P can do a piece of work alone in 16 days, Q can do the same work alone in 24 days, while R can do it alone in 48 days. They
work together and complete the work, and receive a total of Rs744 as payment for doing the work. What is the share of the
person who received the smallest amount?
Rs132
Rs112
Rs118
Rs124
- P, Q, and R work together to complete the task.
- P's rate is 1/16 of the work per day.
- Q's rate is 1/24 of the work per day.
- R's rate is 1/48 of the work per day.
- Combine their rates: \( \frac{1}{16} + \frac{1}{24} + \frac{1}{48} \).
- Find a common denominator (48): \( \frac{3}{48} + \frac{2}{48} + \frac{1}{48} \).
- Add them together: \( \frac{6}{48} = \frac{1}{8} \).
- They complete the work together in 8 days.
- Calculate each person's share of the work:
- P's share is \( \frac{8}{16} = \frac{1}{2} \).
- Q's share is \( \frac{8}{24} = \frac{1}{3} \).
- R's share is \( \frac{8}{48} = \frac{1}{6} \).
- Total payment: Rs744.
- Share:
- P: \( \frac{1}{2} \times 744 = 372 \).
- Q: \( \frac{1}{3} \times 744 = 248 \).
- R: \( \frac{1}{6} \times 744 = 124 \).
- Option 4: Rs124 is correct.
-
By: santosh ProfileResourcesReport error
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