Question 78
Logical Reasoning
Data Sufficiency / Interpretation
Easy
Comprehension: The following questions are based on the piecharts given below. Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions – A, B, C, D, E, F and G. What is The ratio of the number of students studying Arts to that studying commerce in Institute E is
(A) 19:16
(B) 19:27
(C) 19:28
(D) 27:14
View Dynamic Solution & Explanation ▼
Correct Solution: Option B
Step-by-step Solution:
Calculation Steps
Calculate the Number of Arts Students in Institute E:
From the 'Arts' pie chart, Institute E has 14% of the total 3800 students.
0.14 * 3800 = 532 students
Calculate the Number of Commerce Students in Institute E:
From the 'Commerce' pie chart, Institute E has 18% of the total 4200 students.
0.18 * 4200 = 756 students
Determine and Simplify the Ratio:
The required ratio is (Arts Students in E) : (Commerce Students in E).
532 : 756
To simplify, we can find the greatest common divisor (which is 28) or divide by smaller common factors repeatedly.
(532 / 28) : (756 / 28) = 19 : 27
Final Answer: The ratio is 19:27.