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

Show Answer

Correct Answer :

Solution :

The correct option is 160.

Let's extract the data step-by-step from the given line graph and table:


Step 1: Calculate male and female visitors for Parks A and C

From the line graph, total visitors for Park A = 144.

From the table, the fraction of males in Park A = 2/3.


Number of males in Park A:

Males in Park A=23×144=96


From the line graph, total visitors for Park C = 112.

From the table, the fraction of males in Park C = 4/7.


Number of males in Park C:

Males in Park C=47×112=64


Number of females in Park C:

Females in Park C=112-64=48


Step 2: Calculate female visitors for Park E

Total males in Park A & C together = 96 + 64 = 160.

Females in Park E are 75% of total males in Park A & C together:

Females in Park E=75%×160=34×160=120


Step 3: Calculate male visitors for Park E

Males in Park E are 25% more than females in Park C (48):

Males in Park E=125%×48=54×48=60


Step 4: Calculate total people visiting Park E

Total people in Park E=Females in Park E+Males in Park E

Total people in Park E=120+40=160


Thus, the total number of people who visited Park E is 160.

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