Question Details

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.

ParksTotal people (Adult + children)Total number of malesThe ratio of total number of males to that of females in adult people
A220080P----
B144040P----
C120045P9 : 4
D48015P5 : 3

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

Total female visited park B are 4003% more than total children visited park D, then find total children visited park B are what percent more than total female visited park C.

Options

A

86.66%

B

84.66%

C

88.66%

D

82.66%

E

90.66%

Show Answer

Correct Answer :

Option A

86.66%

Solution :

The correct option is 86.66%.

Step 1: Understand the given table and basic information.
We are given data about total people (Adult + Children) visited four parks A, B, C, and D.
Adults consist of Males and Females (Adult = Male + Female).
Total number of adult males visiting all four parks in the week is given as 2700.

Step 2: Find the value of P.
From the table, the total number of males for parks A, B, C, and D are given in terms of P as 80P, 40P, 45P, and 15P respectively.
Sum of males across all four parks:
80P + 40P + 45P + 15P = 180P

We are given that total adult males = 2700:

180P=2700

P=2700180=15

Step 3: Calculate the number of males in each park.
• Males in Park A = 80 × 15 = 1200
• Males in Park B = 40 × 15 = 600
• Males in Park C = 45 × 15 = 675
• Males in Park D = 15 × 15 = 225

Step 4: Calculate females in Parks C and D using the male-to-female ratio in adults.
For Park C:
Ratio of Male to Female = 9 : 4
Number of Males in C = 675
Let 9 units = 675, so 1 unit = 75.
Females in Park C = 4 × 75 = 300.
Total Adults in Park C = Males + Females = 675 + 300 = 975.
Children in Park C = Total people in C - Total adults in C = 1200 - 975 = 225.

For Park D:
Ratio of Male to Female = 5 : 3
Number of Males in D = 225
Let 5 units = 225, so 1 unit = 45.
Females in Park D = 3 × 45 = 135.
Total Adults in Park D = Males + Females = 225 + 135 = 360.
Children in Park D = Total people in D - Total adults in D = 480 - 360 = 120.

Step 5: Calculate total females visiting Park B.
It is given that total females visited Park B are 4003% more than total children visited Park D.
Total children visited Park D = 120
Percentage increase = 4003% = 400300=43
Females in Park B = 120×1+43=120×73=280.

Step 6: Calculate total children visiting Park B.
Total adults in Park B = Males in B + Females in B = 600 + 280 = 880.
Total people in Park B = 1440.
Total children in Park B = Total people in B - Total adults in B = 1440 - 880 = 560.

Step 7: Find the required percentage.
We need to find by what percent total children visited Park B (560) are more than total females visited Park C (300).
Difference = 560 - 300 = 260
Required Percentage = 260300×100=2603%86.66%

Thus, total children visited park B are 86.66% more than total female visited park C.

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