Table given below shows total number of people (Adult + Children) visited four different parks in a week. The table also shows total number of males and ratio of male to female in adult people. Read the data carefully and answer the questions.

Parks	Total people (Adult + children)	Total number of males	The ratio of total number of males to that of females in adult people
A	2200	80P	----
B	1440	40P	----
C	1200	45P	9 : 4
D	480	15P	5 : 3

Note: (i) Adult = Male + female
(ii) Total number of adult males visited all four parks in the week = 2700

If total female visited park A are 40% more than that of park C and total female visited park B are 115 more than total male visited park D, then find average number of children visited in park A and B.

The correct option is 540.

Step 1: Understand the given data and find the value of P

From the note in the question:
Adult = Male + Female
Total number of adult males who visited all four parks in the week = 2700

The total number of males for each park is given in terms of P:
Park A = 80P
Park B = 40P
Park C = 45P
Park D = 15P

Summing up all males across the four parks:

$80P+40P+45P+15P=2700$

$180P=2700$

$P=\frac{2700}{180}=15$

Now, let's calculate the total number of males in each park:

• Total males in Park A = 80 × 15 = 1200
• Total males in Park B = 40 × 15 = 600
• Total males in Park C = 45 × 15 = 675
• Total males in Park D = 15 × 15 = 225

Step 2: Find the number of females in Park C, Park A, and Park B

For Park C, the ratio of total number of males to females in adults is 9 : 4.

$\text{Females in Park C}=675\times \frac{4}{9}=75\times 4=300$

According to the problem statement:
Total females visited Park A are 40% more than that of Park C.

$\text{Females in Park A}=300\times \left(1+0.40\right)=300\times 1.4=420$

Total females visited Park B are 115 more than total males visited Park D.

$\text{Females in Park B}=225+115=340$

Step 3: Calculate the total adults and children in Park A and Park B

For Park A:
Adults in Park A = Males in A + Females in A = 1200 + 420 = 1620
Total people in Park A = 2200
Children in Park A = Total people - Adults = 2200 - 1620 = 580

For Park B:
Adults in Park B = Males in B + Females in B = 600 + 340 = 940
Total people in Park B = 1440
Children in Park B = Total people - Adults = 1440 - 940 = 500

Step 4: Find the average number of children who visited Park A and Park B

$\text{Average}=\frac{\text{Children in A}+\text{Children in B}}{2}$

$\text{Average}=\frac{580+500}{2}=\frac{1080}{2}=540$

Therefore, the average number of children who visited Park A and B is 540.