The table given below shows the data regarding number of people (male + female) who attended six different art exhibitions held in Delhi. The table also shows the percentage of males who attended the exhibition out of the total number of people who attended that exhibition.
Exhibition | Total number of people | Percentage of males
A 480 25%
B 600 65%
C 400 45%
D 525 60%
E 700 55%
F 625 40%
Note: No people attended more than one exhibition.
Ques : Find the average number of males who attended exhibitions A, C and D together.
Correct Answer: (b) 205
Solution:For exhibition A:
Total number of people who attended the exhibition = 480
Percentage of males who attended the exhibition = 25%
Number of males who attended the exhibition = 25% of 480 = 480 × (1/4) = 120
Hence, number of females who attended the exhibition = 480 - 120 = 360
Similarly, we calculate the values for the remaining exhibitions and tabulate them.
Exhibition | Total people | Males | Females |
A | 480 | 120 | 360 |
B | 600 | 390 | 210 |
C | 400 | 180 | 220 |
D | 525 | 315 | 210 |
E | 700 | 385 | 315 |
F | 625 | 250 | 375 |
Total number of males who attended exhibitions A, C and D together = 120 + 180 + 315 = 615
Hence, required average = 615/3 = 205