Question Details

The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks. Read the data carefully and answer the questions below.

Find the difference between average number of females visited park A, C & D and total number of males visited park B.

Options

A

30

B

40

C

60

D

70

Show Answer

Correct Answer :

Option C

60

60

Solution :

The correct option is 60.

From the given line graph, the total number of people (male + female) who visited the parks are:
- Park A = 144
- Park B = 160
- Park C = 112
- Park D = 96

From the table, the fraction of males out of the total number of people visiting each park is given. We can calculate the number of males and females for each park as follows:

1. Park A:
Total people = 144
Fraction of males = 23
Number of males in Park A:
=144×23=96
Number of females in Park A:
=144-96=48

2. Park B:
Total people = 160
Fraction of males = 58
Number of males in Park B:
=160×58=100

3. Park C:
Total people = 112
Fraction of males = 47
Number of males in Park C:
=112×47=64
Number of females in Park C:
=112-64=48

4. Park D:
Total people = 96
Fraction of males = 34
Number of males in Park D:
=96×34=72
Number of females in Park D:
=96-72=24

Now, let us calculate the average number of females who visited parks A, C, and D:
Sum of females in A, C, and D:
=48+48+24=120
Average number of females in A, C, and D:
=1203=40

The total number of males who visited park B is 100.

Therefore, the difference between the average number of females visited park A, C & D and total number of males visited park B is:
=100-40=60

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