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

If total females visited park A are 255 more than that of total children visited park C, then find total children visited park A.

Options

A

520

B

480

C

720

D

420

E

620

Show Answer

Correct Answer :

Option A

520

Solution :

The correct option is 520.


Step 1: Determine the value of P using the total number of adult males.

From the given table, the total number of males visited all four parks (A, B, C, and D) is given as 2700.

The total number of males for each park is represented in terms of P as follows:

Park A: 80P
Park B: 40P
Park C: 45P
Park D: 15P

Summing these values:

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

180P=2700

P=2700180=15


Step 2: Calculate the number of adult males in each park.

Using P=15:

Adult males in Park A = 80×15=1200
Adult males in Park C = 45×15=675


Step 3: Calculate adult females and children for Park C.

For Park C, the ratio of adult males to adult females is given as 9 : 4.

Adult females in Park C=675×49=300

Total adults in Park C = Adult males + Adult females = 675+300=975

From the table, Total people (Adult + Children) visited Park C = 1200.

Total children in Park C=1200-975=225


Step 4: Calculate total females and total children in Park A.

According to the given condition, total females visited Park A are 255 more than total children visited Park C:

Total females in Park A=225+255=480

Since Note (i) states that Adult = Male + Female:

Total adults in Park A=1200+480=1680

From the table, Total people (Adult + Children) visited Park A = 2200.

Total children in Park A=2200-1680=520

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