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Seema can do a work in 120 days, Anjali can do the same work in 144 days and Soniya can do the same work in 180 days. If they do that work together an
Question

Seema can do a work in 120 days, Anjali can do the same work in 144 days and Soniya can do the same work in 180 days. If they do that work together and they are paid Rs. 3300, then what is the share of Anjali?

A.

Rs. 1100

B.

Rs. 2000

C.

Rs. 2500

D.

Rs. 1700

Correct option is A

Given:
Seema's work rate = 1/120

Anjali's work rate = 1/144

 Soniya's work rate = 1/180
Formula Used:
Total work rate = Work rate of Seema + Work rate of Anjali + Work rate of Soniya.
Anjali's share = (Anjali's work rate / Total work rate) × Total payment.
Solution:
Total work rate = 1/120 + 1/144 + 1/180 = 1/48.
Anjali's share = (1/144) / (1/48) × 3300 = Rs.1100

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