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CAT 2017 Slot 2 — QA Question 13

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Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal’s share, in rupees, is

Answer & solution

  • 100

  • B

    200

  • C

    300

  • D

    400

Solution

In one day, Amal, Bimal and Kamal complete 14 of the work.

In one day, Amal and Bimal complete  110+18=4+540=940 of the work.

So amount of work done by Kamal alone in one day is 14-940 = 140 of the work

∴ Fraction of work done by Kamal in 4 days = 4 × 140 = 110

⇒ Amount received by Kamal will be 1/10th of total amount = 1/10 × 1000 = Rs. 100

Hence, option (a).

CAT 2017 Slot 2 QA Q13: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complet — Solution | TheCATExam