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.

The correct option is 60.

Let's analyze the visual data provided in the line graph and the table step-by-step.

Step 1: Extract Data from the Line Graph & Table

From the line graph, the total number of people (male + female) who visited each park is:

• Park A = 144
• Park B = 160
• Park C = 112
• Park D = 96

From the table, the fraction of males out of total visitors for each park is:

• Park A = ²/₃
• Park B = ⁵/₈
• Park C = ⁴/₇
• Park D = ³/₄

Therefore, the fraction of females out of total visitors for each park is 1 − (fraction of males):

• Park A = 1 − ²/₃ = ¹/₃
• Park B = 1 − ⁵/₈ = ³/₈
• Park C = 1 − ⁴/₇ = ³/₇
• Park D = 1 − ³/₄ = ¹/₄

Step 2: Calculate the number of females in Parks A, C, and D

• Number of females in Park A:

$\text{Females (A)}=144\×\frac{1}{3}=48$

• Number of females in Park C:

$\text{Females (C)}=112\×\frac{3}{7}=16\×3=48$

• Number of females in Park D:

$\text{Females (D)}=96\×\frac{1}{4}=24$

Step 3: Calculate the average number of females in Parks A, C, and D

• Total number of females in A, C & D = 48 + 48 + 24 = 120

• Average number of females in A, C & D:

$\text{Average Females}=\frac{120}{3}=40$

Step 4: Calculate the total number of males in Park B

• Males in Park B:

$\text{Males (B)}=160\×\frac{5}{8}=20\×5=100$

Step 5: Find the required difference

• Required Difference = Total males in Park B − Average females in Parks A, C & D

$\text{Difference}=100-40=60$

Thus, the required difference is 60.