The following table shows the total number of beds in each hospital in bracket and the number of patient admitted at different hospitals for a disease on a particular day. Based on the data in the table, answer the question. Hospital Hospital Hospital Hospital Hospital Viral disease 30 15 35 10 Heart disease 35 10 30 10 Kidney disease 15 5 15 5 Liver disease 10 5 5 15
Disease
A (100)
B (50)
C (100)
D (50)
What is the total percentage of unutilized beds ?
16.66%
Calculating Unutilized Hospital Beds Percentage
This problem asks us to determine the total percentage of unutilized beds across several hospitals based on the provided data table. We need to first find the total number of beds available, the total number of beds occupied by admitted patients, and then calculate the difference to find the unutilized beds. Finally, we will express this difference as a percentage of the total beds.
Step-by-Step Calculation of Unutilized Beds
1. Calculate Total Available Beds
The total number of beds for each hospital is given in brackets next to the hospital name.
- Hospital A: 100 beds
- Hospital B: 50 beds
- Hospital C: 100 beds
- Hospital D: 50 beds
The total number of beds across all hospitals is the sum of beds in each hospital:
\[ \text{Total Beds} = \text{Hospital A Beds} + \text{Hospital B Beds} + \text{Hospital C Beds} + \text{Hospital D Beds} \] \[ \text{Total Beds} = 100 + 50 + 100 + 50 = 300 \text{ beds} \]2. Calculate Total Admitted Patients
The table shows the number of patients admitted for different diseases in each hospital. We need to sum the admitted patients for all diseases in each hospital to find the total number of occupied beds.
| Hospital | Viral disease | Heart disease | Kidney disease | Liver disease | Total Admitted |
|---|---|---|---|---|---|
| Hospital A (100) | 30 | 35 | 15 | 10 | \(30 + 35 + 15 + 10 = 90\) |
| Hospital B (50) | 15 | 10 | 5 | 5 | \(15 + 10 + 5 + 5 = 35\) |
| Hospital C (100) | 35 | 30 | 15 | 5 | \(35 + 30 + 15 + 5 = 85\) |
| Hospital D (50) | 10 | 10 | 5 | 15 | \(10 + 10 + 5 + 15 = 40\) |
The total number of admitted patients across all hospitals is the sum of total admitted patients in each hospital:
\[ \text{Total Admitted Patients} = \text{Hospital A Admitted} + \text{Hospital B Admitted} + \text{Hospital C Admitted} + \text{Hospital D Admitted} \] \[ \text{Total Admitted Patients} = 90 + 35 + 85 + 40 = 250 \text{ patients} \]3. Calculate Total Unutilized Beds
Unutilized beds are the beds that are not occupied by patients.
\[ \text{Total Unutilized Beds} = \text{Total Beds} - \text{Total Admitted Patients} \] \[ \text{Total Unutilized Beds} = 300 - 250 = 50 \text{ beds} \]4. Calculate the Percentage of Unutilized Beds
To find the percentage of unutilized beds, we divide the total unutilized beds by the total number of beds and multiply by 100.
\[ \text{Percentage of Unutilized Beds} = \left( \frac{\text{Total Unutilized Beds}}{\text{Total Beds}} \right) \times 100 \] \[ \text{Percentage of Unutilized Beds} = \left( \frac{50}{300} \right) \times 100 \] \[ \text{Percentage of Unutilized Beds} = \left( \frac{1}{6} \right) \times 100 \] \[ \text{Percentage of Unutilized Beds} \approx 0.16666 \times 100 \approx 16.66\% \]Summary of Results
- Total Available Beds: 300
- Total Admitted Patients: 250
- Total Unutilized Beds: 50
- Percentage of Unutilized Beds: 16.66%
Based on the calculations, the total percentage of unutilized beds is approximately 16.66%.
Revision Table: Hospital Bed Utilization
| Metric | Calculation | Value |
|---|---|---|
| Total Beds | Sum of beds in all hospitals | 300 |
| Total Admitted Patients | Sum of patients admitted across all hospitals for all diseases | 250 |
| Total Unutilized Beds | Total Beds - Total Admitted Patients | \(300 - 250 = 50\) |
| Percentage Unutilized | (Total Unutilized Beds / Total Beds) * 100 | \((50 / 300) * 100 \approx 16.66\%\) |
Additional Information: Understanding Bed Occupancy Rate
The concept of bed occupancy rate is closely related to unutilized beds. The bed occupancy rate is the percentage of occupied beds out of the total available beds over a specific period. It is a key performance indicator (KPI) in healthcare management, reflecting the efficiency of bed utilization.
The formula for Bed Occupancy Rate is:
\[ \text{Bed Occupancy Rate} = \left( \frac{\text{Number of Occupied Beds}}{\text{Number of Available Beds}} \right) \times 100 \]In our case, the number of occupied beds is the total admitted patients, which is 250, and the number of available beds is the total beds, 300.
\[ \text{Bed Occupancy Rate} = \left( \frac{250}{300} \right) \times 100 \] \[ \text{Bed Occupancy Rate} = \left( \frac{5}{6} \right) \times 100 \] \[ \text{Bed Occupancy Rate} \approx 0.8333 \times 100 \approx 83.33\% \]The percentage of unutilized beds is simply 100% minus the bed occupancy rate.
\[ \text{Percentage Unutilized} = 100\% - \text{Bed Occupancy Rate} \] \[ \text{Percentage Unutilized} \approx 100\% - 83.33\% \approx 16.67\% \]This confirms our earlier calculation for the percentage of unutilized beds. A high bed occupancy rate can indicate efficient use of resources but might also lead to overcrowding or reduced capacity for emergencies. A low rate might suggest underutilization of hospital resources. Analyzing these metrics helps hospitals manage their capacity effectively.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
