Multiple Choice Questions

Radha can complete a piece of work in 3 days while Raji can complete the same work in 2 days Both of...........

Quantitative Aptitude (MTS) Time and work

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 Rs150 as total payment for the work done. What is the share of Radha out of the above

payment?

This questions was previously asked in

SSC MTS 25th July 2022 Shift-2

Rs70

Rs40

Rs30

Rs60

- Radha can complete the work in 3 days, so she does 1/3 of the work in a day.

- Raji can complete the work in 2 days, so she does 1/2 of the work in a day.

- Together in one day, they complete: 1/3 + 1/2 = 2/6 + 3/6 = 5/6 of the work.

- Therefore, they complete the work together in 6/5 days.

- Radha's contribution to the work is (1/3) / (5/6) = 2/5.

- Raji's contribution is (1/2) / (5/6) = 3/5.

- Total payment is Rs150.

- Radha's share is 2/5 of Rs150 = Rs60.

- Raji's share is 3/5 of Rs150 = Rs90.

- Correct Answer: Rs60

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