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

Find the ratio of total female visited park D to total children visited park C and D together in a week.

Options

A

9 : 22

B

9 : 23

C

9 : 25

D

3 : 7

E

9 : 31

Show Answer

Correct Answer :

Option B

9 : 23

Solution :

The correct option is 9 : 23.


Step-by-Step Solution:

Step 1: Find the value of P

It is given that the total number of adult males who visited all four parks in the week is 2700.
From the table, total males = 80P + 40P + 45P + 15P.

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

180P=2700

P=2700180=15


Step 2: Calculate adult males in Park C and Park D

Adult Males in Park C=45×15=675

Adult Males in Park D=15×15=225


Step 3: Calculate adult females and children for Park C

The ratio of adult males to females in Park C is 9 : 4.

Adult Females in Park C=675×49=300

Total Adults in Park C=675+300=975

Given total people in Park C = 1200.

Children in Park C=1200-975=225


Step 4: Calculate adult females and children for Park D

The ratio of adult males to females in Park D is 5 : 3.

Adult Females in Park D=225×35=135

Total Adults in Park D=225+135=360

Given total people in Park D = 480.

Children in Park D=480-360=120


Step 5: Calculate the required ratio

Total females visited Park D = 135

Total children visited Park C and D together = 225 + 120 = 345

Required Ratio=135345=923


Therefore, the required ratio of total females in Park D to total children in Park C and D together is 9 : 23.

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