A can finish a work in 15 days. B in 20 days and C in 25 days. All these three worked together and earned ₹ 4700. The share of C is

₹ 1200
₹ 1500
₹ 1800
₹ 2000

Correct Answer: ₹ 1200

Explanation:

A's 1 day's work = 1/15
B's 1 day's work = 1/20
C's 1 day's work = 1/25
A, B and C worked together.
∴ (A + B + C)'s 1 day's work = (1/15) + (1/20) + (1/25)
= (20 + 15 + 12)/ 300
= 47/300
Days taken to complete work by A, B and C working together = 300/47
∴ Share of C = (1/25) x (300/47) x 47000
= ₹ 1200

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