Directions for question
Mr N Chandrasekaran, Chairman of the Taj Group of Hotels, in the process of investigating the reason for the not so good financial performance of the top ten hotels of their group in the financial year 2022-23, initiated two surveys.
The survey was to be done specifically for the following top ten hotels of their group : 1) Taj Palace (Delhi), 2) Taj Coromandel (Chennai), 3) Taj Bengal (Kolkata), 4) Taj Skyline (Ahmedabad), 5) Taj Chandigarh (Chandigarh), 6) Taj Malabar (Cochin), 7) Umaid Bhawan Palace (Jodhpur), 8) Taj Ganges (Varanasi), 9) Taj Chia Kutir (Darjeeling) and 10) Taj Exotica (Andaman).
In 2021-22, a certain number of people went to these hotels (collectively) and in 2022-23, these people again visited one or more of these 10 hotels.
One of the surveys was to find out what percentage of the first time guests of these top ten hotels of their group repeated their visit at these ten hotels in the financial year 2022-23. The second was to find out what percentage of those who repeated their visit at these ten hotels in the financial year 2022-23, were there for business purposes.
The following was the result of the survey in the form of a line graph with two components :
Question
What is the average number of times (rounded to the second decimal place) in the Financial Year 2022-23, each single first time guest at the ten hotels taken together, repeat their stay, but only for business purpose ?
0.86
1.18
2.38
3.95
We know that :
|
Name of Hotel |
% of the first time guests who repeated their visit among the hotels, in the financial year 2022-23 |
% of those who were on a repeat visit for business purpose only, in the Financial year 2022-23 |
% of the first time guests who were on a repeat visit for business purpose only, in the Financial year 2022-23 |
---|---|---|---|---|
1 |
Taj Palace (Delhi) |
15% |
75% |
75% of 15% = (75*15)/100 = 11.25% |
2 |
Taj Coromandel (Chennai) |
10% |
55% |
55% of 10% = (55*10)/100 = 5.50% |
3 |
Taj Bengal (Kolkata) |
40% |
55% |
55% of 40% = (55*40)/100 = 22.00% |
4 |
Taj Skyline (Ahmedabad) |
30% |
70% |
70% of 30% = (70*30)/100 = 21.00% |
5 |
Taj Chandigarh (Chandigarh) |
30% |
60% |
60% of 30% = (60*30)/100 = 18.00% |
6 |
Taj Malabar (Cochin) |
15% |
45% |
45% of 15% = (45*10)/100 = 6.75% |
7 |
Umaid Bhawan Palace (Jodhpur) |
45% |
25% |
25% of 45% = (25*45)/100 = 11.25% |
8 |
Taj Ganges (Varanasi) |
20% |
65% |
65% of 20% = (65*20)/100 = 13.00% |
9 |
Taj Chia Kutir (Darjeeling) |
25% |
30% |
30% of 25% = (30*25)/100 = 7.50% |
10 |
Taj Exotica (Andaman) |
10% |
15% |
15% of 10% = (15*10)/100 = 1.50% |
Let us take the example of Taj Palace (Delhi) :
It has been found out that the percentage of first time guests who were on a repeat visit for business purpose, was 11.25%.
It signifies that for every 100 first time guests at the top ten hotels listed above, 11.25 guests have repeated their visit for business purpose at Taj Palace (Delhi).
Taking the total of the individual percentages of first time guests who were on a repeat visit for business purpose, for all the top ten hotels as listed above, we get
= (11.25 + 5.50 + 22.00 + 21.00 + 18.00 + 6.75 + 11.25 + 13.00 + 7.50 + 1.50) %
= 117.75%
The above total of 117.75% signifies that for every 100 first time guests at the top ten hotels listed above, 117.75 guests have repeated their visit for business purpose at the same top ten hotels.
But those 117.75 guests are from the same 100 first time guests.
So the only logical explanation is that some or all guests out of the same 100 first time guests had repeat visited the top ten hotels as listed, for business purposes, for a total of 117.75 times.
Hence, on an average, number of times each single guest had had repeat visited the top ten hotels as listed, for business purposes
= 117.75/100
= 1.1775
that is 1.18, times