Question : Radha can complete a piece of work in 3 days, while Raji can complete the same work in 2 days. Both of them complete this work by working together and get INR 150 as the total payment for the work done. What is the share of Radha out of the above payment?
Option 1: INR 70
Option 2: INR 40
Option 3: INR 30
Option 4: INR 60
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Correct Answer: INR 60
Solution :
Radha can complete a piece of work in = 3 days
Raji can complete the same work in = 2 days
Work done by Radha in one day = $\frac{1}{3}$
Work done by Raji in one day = $\frac{1}{2}$
Hence, the ratio of their contribution to daily work is =$\frac{1}{3} : \frac{1}{2}$ = 2 : 3
The share of Radha = $\frac{2}{5}\times 150=60$
Hence, the correct answer is INR 60.
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