A and B undertook to do a piece of work for Rs. 4500. A alone could do it 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C’s share of the money is

A and B undertook to do a piece of work for Rs. 4500. A alone could do it 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C’s share of the money is
1). Rs. 2250
2). Rs. 1500
3). Rs. 750
4). Rs. 375

Given,

A = 8 days, B = 12 days

⇒ A + B + C = 4

LCM of A, B and A + B + C = 24

Efficiency of A, B, (A + B + C) =

= 3, 2, 6

⇒ A + B + C = 6

⇒ C = 6 – 3 – 2 = 1

Ratio of efficiency of A, B, C = 3 : 2 : 1

Total amount = 4500

∴ C's share = 4500 × 1/6 = Rs.750

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