Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
A) 1260 B) 700 C) 900 D) 870
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Raman can do a work in 5 days
⇒ 1 day = 1/5 of the work
Jatin can do the same work in 7 days
⇒ 1 day = 1/7 of the work
Sachin can do the same work in 9 days
⇒ 1 day = 1/9 of the work
Find the ratio:
Ratio = Raman : Jatin : Sachin = 1/5 : 1/7 : 1/9
Multiply by 315 through:
Ratio = Raman : Jatin : Sachin = 63 : 45 : 35
Find the constant ratio:
Let x be the constant ratio
Ratio = Raman : Jatin : Sachin = 63x : 45x : 35x
63x + 45x + 35x = Rs 2860
143x = 2860
x = 20
Find Raman's share:
Raman = 63x = 63(20) = Rs 1260
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