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 total number of females visited park E are 75% of total number of males visited park A & C together and total number of males visited park E are 25% more than total females visited park C, then find total people visited park E.

Options

A

200

B

140

C

160

D

120

E

180

Show Answer

Correct Answer :

Option E

180

Solution :

The correct answer is 180.

1. Extracting Data from the Graph and Table:
From the line graph, we can determine the total number of people (males + females) who visited each park by observing the grid line values. The grid lines are spaced at intervals of 8 units:

• Total people visited Park A = 144
• Total people visited Park B = 160
• Total people visited Park C = 112
• Total people visited Park D = 96

From the table, we get the fraction of males out of the total people for each park:

• Park A: Fraction of males = 23
• Park B: Fraction of males = 58
• Park C: Fraction of males = 47
• Park D: Fraction of males = 34

2. Calculating the Number of Males and Females for Parks A and C:
For Park A:
Number of males visited Park A:
Males in A=144×23=96
Number of females visited Park A:
Females in A=144-96=48

For Park C:
Number of males visited Park C:
Males in C=112×47=64
Number of females visited Park C:
Females in C=112-64=48

3. Calculating the Number of People Visited Park E:
According to the question:
• The total number of females visited Park E is 75% of the total number of males visited Parks A and C together:
Females in E=75%×(Males in A+Males in C)
Females in E=0.75×(96+64)=0.75×160=120
• The total number of males visited Park E is 25% more than the total number of females visited Park C:
Males in E=Females in C×(1+25%)
Males in E=48×1.25=60

Therefore, the total number of people who visited Park E is:
Total People in E=Females in E+Males in E
Total People in E=120+60=180

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