A can do a certain work in 12 days and B can do it in 18 days They worked together for 4 days The re...........

Quantitative Aptitude (MTS) Time and work

A can do a certain work in 12 days and B can do it in 18 days. They worked together for 4 days. The remaining work was

completed by C alone in 6 days. If they get Rs3,240 for the whole work, then the share of C in this amount will be:

This questions was previously asked in

SSC MTS 14th October 2021 Shift-3

Rs1,080

Rs1,440

Rs1,260

Rs1,170

- Work Rates: A completes the work in 12 days, so A does 1/12 of the work per day. B completes it in 18 days, doing 1/18 of the work per day.

- Combined Work: Together for 4 days, they complete 4 * (1/12 + 1/18) = 4 * (3/36 + 2/36) = 4 * 5/36 = 20/36 = 5/9 of the work.

- Remaining Work: 1 - 5/9 = 4/9 of the work is left after A and B worked together.

- C’s Work: C completes this 4/9 of the work alone in 6 days, meaning C’s rate is (4/9) / 6 = 4/54 = 2/27 of the work per day.

- Sharing Earnings: A and B completed 5/9, and C completed 4/9. C's share of the total amount is (4/9) of Rs3,240.

- Calculating C's Share: C’s share = (4/9) * 3,240 = Rs1,440.

The correct answer is:

- Option 2: Rs1,440

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