College A B C D E Demand (application received) 3000 600 2500 1200 3300 Intake (available seats) 1500 1800 1000 2700 2200
This problem requires us to compare the total student demand for the two colleges with the highest demand against the total demand for the two colleges with the lowest demand, based on the provided table. We need to calculate the percentage by which the higher total demand exceeds the lower total demand.
Data Analysis and Identification
First, let's list the demand for each college from the table:
| College | A | B | C | D | E |
| Demand (applications received) | 3000 | 600 | 2500 | 1200 | 3300 |
Identifying Highest and Lowest Demand Colleges
We need to find the two colleges with the highest demand and the two colleges with the lowest demand.
- Ordering the colleges by demand in descending order:
- College E: 3300 (Highest)
- College A: 3000 (Second Highest)
- College C: 2500
- College D: 1200 (Second Lowest)
- College B: 600 (Lowest)
Calculating Total Demand
Now, we calculate the total demand for these groups:
- Total demand of the two highest demanded colleges (College E and College A):
- $ \text{Total Demand}_\text{Highest} = 3300 + 3000 = 6300 $
- Total demand of the two lowest demanded colleges (College B and College D):
- $ \text{Total Demand}_\text{Lowest} = 600 + 1200 = 1800 $
Calculating Percentage Higher
The question asks what percent higher the total demand of the two highest demanded colleges is than the total demand of the two lowest demanded colleges. We use the formula for percentage increase:
$ \text{Percentage Higher} = \left( \frac{\text{Total Demand}_\text{Highest} - \text{Total Demand}_\text{Lowest}}{\text{Total Demand}_\text{Lowest}} \right) \times 100 $
Substituting the values we found:
$ \text{Percentage Higher} = \left( \frac{6300 - 1800}{1800} \right) \times 100 $
$ \text{Percentage Higher} = \left( \frac{4500}{1800} \right) \times 100 $
Simplify the fraction:
$ \frac{4500}{1800} = \frac{45}{18} $
Divide both numerator and denominator by their greatest common divisor, which is 9:
$ \frac{45 \div 9}{18 \div 9} = \frac{5}{2} $
Convert the fraction to a decimal:
$ \frac{5}{2} = 2.5 $
Now, multiply by 100 to get the percentage:
$ \text{Percentage Higher} = 2.5 \times 100 = 250\% $
Conclusion
Therefore, the total demand of the two highest demanded colleges is 250% higher than the total demand of the two lowest demanded colleges.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
