The pie chart (i ) given below shows percentage distribution of total people (male + female) visited five different clubs and pie chart (ii) shows percentage distribution of total male visited in these five clubs. Read the data carefully and answer the questions given below.

             

The ratio of males whose age above 25 years to below 25 years in club C is 5 : 3, while the ratio of females whose age above 25 years to below 25 years in B is 1 : 2. If total males in C and females in B whose age is 25 years are 20 and 40 respectively, then find the sum of total males in C and females in B whose age below 25 years.

Correct Answer: 250

Let's break down the solution step-by-step using the data given in the pie charts.

Step 1: Extract basic totals from Pie Chart (i) and Pie Chart (ii)

From Pie Chart (i), the total number of people (male + female) across all five clubs is:
$\text{Total People}=2500$

From Pie Chart (ii), the total number of males across all five clubs is:
$\text{Total Males}=1200$

Step 2: Calculate the number of males and females in Club C and Club B

From Pie Chart (ii), the percentage of males in Club C is 35%.
$\text{Total Males in C}=35\%\text{of}1200=\frac{35}{100}\times 1200=420$

From Pie Chart (i), the percentage of total people in Club B is 16%.
$\text{Total People in B}=16\%\text{of}2500=\frac{16}{100}\times 2500=400$

From Pie Chart (ii), the percentage of males in Club B is 15%.
$\text{Total Males in B}=15\%\text{of}1200=\frac{15}{100}\times 1200=180$

Therefore, total females in Club B:
$\text{Total Females in B}=\text{Total People in B}-\text{Total Males in B}=400-180=220$

Step 3: Analyze Males in Club C by Age Category

We are given:
1. Total Males in C = 420
2. Males in C whose age is exactly 25 years = 20

So, the total number of males in C whose age is either above 25 years or below 25 years:
$\text{Males in C (Above 25 + Below 25)}=420-20=400$

The ratio of males in C whose age is above 25 years to below 25 years is given as 5 : 3.
Let the number of males above 25 years be 5x and below 25 years be 3x.
$5x+3x=400$
$8x=400\Rightarrow x=50$

Thus, the number of males in Club C whose age is below 25 years:
$\text{Males in C (below 25 years)}=3\times 50=150$

Step 4: Analyze Females in Club B by Age Category

We are given:
1. Total Females in B = 220
2. Females in B whose age is exactly 25 years = 40

So, the total number of females in B whose age is either above 25 years or below 25 years:
$\text{Females in B (Above 25 + Below 25)}=220-40=180$

The ratio of females in B whose age is above 25 years to below 25 years is given as 1 : 2.
Let the number of females above 25 years be 1y and below 25 years be 2y.
$1y+2y=180$
$3y=180\Rightarrow y=60$

Thus, the number of females in Club B whose age is below 25 years:
$\text{Females in B (below 25 years)}=2\times 60=100$

Step 5: Find the required sum

We need to find the sum of total males in C and females in B whose age is below 25 years:
$\text{Required Sum}=150+100=250$