Data Interpretation – A company awards incentives to its employees for

XAT 2021 Exam Paper – Data Interpretation – A company awards incentives to its employees for

Q. A company awards incentives to its employees for successful project performances. It rates successful project performance in categories A*, A, B, and C. Employees, in solo projects rated A*, A, B, and C, are awarded incentives ₹6 lakh, ₹5 lakh, ₹3 lakh, and ₹1 lakh respectively. When a project has multiple team members, the following scheme is used to award the incentives:

For example, for a project rated A, with three members, the team lead gets ₹4 lakh, and the other team members get ₹2.5 lakh each. A project always has a single team lead.
Six employees: Altaf, Bose, Chakrabarthi, Dipa, Ernie, and Fatima receive a total of ₹45 lakh in incentives by participating in a total of eight different projects that does not involve any other person. Not all six employees are involved in all eight projects.
The following are additionally known about these eight projects: 1. One project involves all six employees. Four projects involve three each, and the rest, two each. 2. Exactly three projects are rated C, for which a total of ₹4.8 lakh is paid. 3. Only one project is rated A*.
Q. What BEST is known about the team compositions for the projects rated C ?
1. The three teams have two, three and six members respectively.
2. All are either two-member or three-member teams.
3. All are three-member teams.
4. One is the six-member team, the rest are two-member teams.
5. All are two-member teams.
Answer: E

Q. What BEST is known about the team composition for the project rated A*?
1 . A three-member team
2. Either a three-member team or the six-member team
3. A two-member team
4. Either a two-member team or a three-member team
5. The six-member team
Answer: A

Q. Total amount of money paid for projects rated A (in lakhs of Rupees) is:
1. 19
2. 15
3. 16
4. 17
5. 18
Answer: E
Solutions:
Total percentage incentive when number of team members is 1 = 100%
Total percentage incentive when the number of team members are 2 =160%
Total percentage incentive when the number of team members are3=180%
Total percentage incentive when the number of team members are 4= 190%
Total percentage incentive when the number of team members are > 4 = 200%
From statement 1 , Number of people in 8 different projects = 6, 3, 3,3,3, 2,2,2 respectively
From 2, Given, exactly three projects are rated C and 4.8 lakh is paid in total
A minimum of 3 lakhs has to be paid for rating C => 3 *1.6 = 4.8lakhs => All 2 member teams have been rated C
From 3, one project has been rated A*. Let that project be handled by the team of 3 members => Incentives = 180% of 6 = 10.8 lakh
Now remaining 6,3,3,3 should be either rated A or B and the total incentives should be equal to 45 – 10.8-4.8 = 29.4 lakhs
Let us assume 6 has been rated B => Incentives = 200% of 3 = 6 lakhs
The remaining 23.4 lakhs should come from 180%.
Hence the remaining 3,3,3 can be rated as A, A, B
Hence final ratings are and total payouts are6 – B – 6lakhs
3- A – 9 lakhs
3-A – 9 lakhs
3-B – 5.4 lakhs
3-A* – 10.8lakhs
2-C – 1.6 lakhs
2-C – 1.6 lakhs
2-C – 1.6 lakhs

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