Question
Total number of platinum tickets available decreases
from theatre A to C. It decreases by the same number in theatre C from B as it decreased in theatre B from A. If number of platinum tickets sold in theatre B and C are same, then total number of platinum tickets available in theatre C is what percent less than the total number of platinum tickets available in theatre A? Study the following chart carefully and answer the given questions: The radar graph given below shows the percentage of movie tickets sold of two categories (gold and platinum) in four different theatres A, B, C and D in a month. Note: Total number of movie tickets = sold + unsoldSolution
Let the number of tickets decreases from theatre A to B and from theatre B to C be = x Let the number of platinum tickets available in theatre A be = N Number of platinum tickets available in theatre B = (N – x) Number of platinum tickets available in theatre C = (N – 2x) Now according to the question, => 60% of (N – x) = 80% of (N – 2x) => 6N – 6x = 8N – 16x => 3N = 10x => N/x = 10/3 Assume N = 10 and x = 3 Number of platinum tickets available in theatre A = N = 10 Number of platinum tickets available in theatre C = (N – 2x) = 10 – 6 = 4 Required % = [(10 – 4)/4] × 100 = 150%
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