Question
Download Solution PDFComprehension
The following table shows the percentage (9%) of colleges offering the four IT courses on Python, Java, Multimedia and Al in four Indian States A-D, in a certain year. The table also persents the percetage-wise distribution of the number of Colleges in the four states. The total number of Colleges in the four states is 4000. Based on the data in the table, answer the questions 1-5.
State-wise Percentage of Colleges offering IT Courses
|
State |
% of Colleges offering |
% Distribution of Number of Colleges |
|||
|
Python |
Java |
Multimedia |
Al |
||
|
A |
86% |
74% |
59% |
56% |
35% |
|
B |
80% |
92% |
82% |
84% |
15% |
|
C |
74% |
88% |
84% |
86% |
20% |
|
D |
68% |
64% |
68% |
70% |
30% |
Number of Colleges offering Java in State B is ______ % of the number of Colleges offering Al in State C.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:-
Total number of colleges in 4 states = 4000
Formula Used:
Percentage = (Part / Whole) × 100%
Calculation:
The number of colleges offering Java courses in state B,
\(⇒ 4000×\dfrac{15}{100}×\dfrac{92}{100}=552\)
The number of colleges offering Al course in state C,
\(⇒ 4000×\dfrac{20}{100}×\dfrac{86}{100}=688\)
Let the number of Colleges offering Java in State B is x% of the number of Colleges offering Al in State C. Thus,
\(⇒ x=\dfrac{552}{688}×{100}\)
⇒ x = 80.23%
So, the number of Colleges offering Java in State B is 80.23% of the number of Colleges offering Al in State C.
Hence, the correct option is 2.
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