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.

If average number of females visited park A, B & F are 60, then find total number of females visited park F are what percent of total number of males visited park A.

Options

A

55%

B

100%

C

80%

D

60%

E

75%

Show Answer

Correct Answer :

Option E

75%

75%

Solution :

The correct option is 75%.

First, we extract the relevant data points from the provided line graph and table:
- Total number of people (male + female) who visited Park A = 144
- Fraction of males out of total people in Park A = 2/3
- Total number of people (male + female) who visited Park B = 160
- Fraction of males out of total people in Park B = 5/8

Let us calculate the number of males and females in Park A:

Number of males in Park A = 144 × 2 3 = 96

Number of females in Park A = 144 - 96 = 48

Next, let us calculate the number of females in Park B:

Number of males in Park B = 160 × 5 8 = 100

Number of females in Park B = 160 - 100 = 60

We are given that the average number of females who visited parks A, B, and F is 60. Let the number of females who visited park F be Ffemales:

48 + 60 + F females 3 = 60

Multiplying both sides by 3:

108 + F females = 180

F females = 180 - 108 = 72

Now, we find what percent the total number of females who visited park F is of the total number of males who visited park A:

Required percentage = 72 96 × 100 = 75 %

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