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
Total female visited park B are % more than total children visited park D, then find total children visited park B are what percent more than total female visited park C.
Correct Answer :
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:
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 % more than total children visited Park D.
Total children visited Park D = 120
Percentage increase = % =
Females in Park B = .
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 =
Thus, total children visited park B are 86.66% more than total female visited park C.
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