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The pie chart shows the percentage of total number of students (male and female) in different institutes affiliated with an educational council, whereas the radar graph shows the number of male…

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The pie chart shows the percentage of total number of students (male and female) in different institutes affiliated with an educational council, whereas the radar graph shows the number of male students in the institutes. Let the total number of students in all the institutes taken together be 5500



Figure



If 25% of the female students from institute V are transferred to institute Z and 20% of the male students from institute Z are transferred to institute W, then after the transfer, the percentage (up to two decimal places) by which the number of students in institute Z are more than that of the students in institute U is _____.
  1. 60.45%
  2. 50.63%
  3. 49.09%
  4. 54.55%

Answer and explanation

Correct answer: D - 54.55%
Totals: Z = 20% of 5500 = 1100 (700 M, 400 F); V = 440 (200 M, 240 F); U = 660. 25% of V's females = 60 move into Z; 20% of Z's males = 140 leave. New Z = 1100 + 60 - 140 = 1020. (1020 - 660)/660 = 54.55%.

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