# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Work and Time Questions | Question 13

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Question 13 : 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

1. 100
2. 200
3. 300
4. 400

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### Explanatory Answer

##### Method of solving this CAT Question from Work and Time

Given that Amal can complete a job in 10 days ⟹ Rate = $$frac{1}{10}$ Bimal can complete it in 8 days ⟹ Rate = $\frac{1}{8}$ Amal, Bimal and Kamal together complete the job in 4 days ⟹ Rate = $\frac{1}{4}$ Kamal's rate of doing work is, Amal + Bimal + Kamal = $\frac{1}{4}$ ⟹ $\frac{1}{10}$ + $\frac{1}{8}$ + Kamal = $\frac{1}{4}$ ⟹ Kamal = $\frac{1}{4}$ - $\frac{1}{8}$ − $\frac{1}{10}$ ⟹ Kamal = $\frac{10}{40}$ - $\frac{5}{40}$ − $\frac{4}{40}$ Kamal’s rate of doing work = $\frac{1}{40}$ Kamal would have taken 40 days to complete the entire task. Amal : Bimal : Kamal = $\frac{1}{10}$ : $\frac{1}{8}$ : $\frac{1}{40}$ = 4 : 5 : 1 Total amount of Rs.1000 is paid as remuneration Amal : Bimal : Kamal = $\frac{4}{10}$ : $\frac{5}{10}$ : $\frac{1}{10}$ Kamal’s share = $\frac{1}{10}$ × 1000 = Rs.100 The question is "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" ##### Hence, the answer is Rs.100 Choice A is the correct answer ###### 🎉 New Year offer! Fabulous 4,000 off on CAT Online Courses. Valid until 15th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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