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Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Deepak give on Packaging?

Solution

✅ Correct Option: 1
Slide 1/7

Understanding the set :-

  1. Ravi works in an online food-delivery company.
  1. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9.
  1. If total rating of Ravi is 25 +, he gets a bonus of ₹20 for that delivery.
  1. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50.

This is a table set,

In this we need to find the ratings given to Ravi, the bonus given to him, and the tip (if given).

CustomerBehaviourPackagingHygieneTimelinessTotal
Atal
Bihari9
Chirag8
Deepak

Packaging ratings are distinct and sum to 29.

The only possible set of four distinct ratings is:

5 + 7 + 8 + 9 = 29

Also,

  • Bihari has the highest Packaging rating.
  • Therefore, Bihari = 9.

The remaining ratings are {8, 7, 5}.

Since Chirag's Packaging equals his Hygiene and he later turns out to have the highest Hygiene rating, Chirag must have Packaging = 8.

Hence, Atal and Deepak receive 5 and 7.

CustomerBehaviourPackagingHygieneTimelinessTotal
Atal5/7
Bihari97
Chirag88
Deepak5/76/5

Hygiene ratings are distinct and sum to 26.

Possible distinct ratings are:

8 + 7 + 6 + 5 = 26

Since Chirag has the highest Hygiene rating and his Packaging equals his Hygiene,

  • Chirag = 8.

The remaining Hygiene ratings are {7, 6, 5}.

CustomerBehaviourPackagingHygieneTimelinessTotal
Atal55
Bihari97
Chirag88
Deepak76

We are told:

  • Atal's rank in Packaging is the same as his rank in Hygiene.
  • Deepak's rank in Packaging is also the same as his rank in Hygiene.

Testing the two possible assignments of {5,7} in Packaging shows that only one arrangement satisfies both ranking conditions.

Therefore,

  • Atal → Packaging = 5, Hygiene = 5
  • Deepak → Packaging = 7, Hygiene = 6

Packaging and Hygiene are now completely determined.

CustomerBehaviourPackagingHygieneTimelinessTotal
Atal755
Bihari697
Chirag688
Deepak576

Behaviour ratings are restricted to 5, 6 and 7.

Also,

  • Atal has the unique highest Behaviour rating.
  • Deepak has the unique lowest Behaviour rating.

Hence,

  • Atal = 7
  • Deepak = 5
  • Bihari = 6
  • Chirag = 6
CustomerBehaviourPackagingHygieneTimelinessTotal
Atal7556
Bihari6975
Chirag6885
Deepak5765

Timeliness ratings satisfy:

  • Total = 21
  • Three customers gave the same rating.
  • Atal rated higher than both Bihari and Chirag.

Let the repeated rating be x.

Then, 3x + y = 21

Possible values are:

  • (4, 9)
  • (5, 6)

The first case is eliminated after checking the remaining conditions.

Hence,

  • Bihari = 5
  • Chirag = 5
  • Deepak = 5
  • Atal = 6

Final table:

CustomerBehaviourPackagingHygieneTimelinessTotal
Atal755623
Bihari697527
Chirag688527
Deepak576523

Deepak gave rating of 7 on packaging

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