The pie given below shows the total population in five cities (A, B, C, D, E).

In C, the ratio of male and females is 2:5 and female to children is 1:1. Find the ratio of children in C to total population of E.

The correct answer is 25:36.

Step 1: Understand the data from the pie chart

The pie chart shows the total population equal to 1200 distributed across five cities (A, B, C, D, E) as follows:
- City A = $(2p+5)\%$
- City B = 8%
- City C = $p\%$
- City D = 15%
- City E = 12%

Step 2: Find the value of $p$

Since the total percentage represented in a pie chart is always 100%:

$(2p+5)+8+p+15+12=100$

$3p+40=100$

$3p=60$

$p=20$

Step 3: Calculate the percentage share for City C and City E

- Share of population in City C = $p\%=20\%$
- Share of population in City E = $12\%$

Step 4: Find the fraction of children in City C

We are given:
- Male : Female in C = 2 : 5
- Female : Children in C = 1 : 1 = 5 : 5

Combining the ratios, we get:

$\text{Male}:\text{Female}:\text{Children}=2:5:5$

Total parts in City C = $2+5+5=12$ parts.

Fraction of children in City C = $\frac{5}{12}$ of City C's population.

Step 5: Calculate the population of children in City C and total population in City E

Let $T$ represent the total population (1200):

- Children in City C = $\frac{5}{12}\times 20\%\text{of}T=\frac{100}{12}\%\text{of}T=\frac{25}{3}\%\text{of}T$

- Total Population of City E = $12\%\text{of}T$

Step 6: Compute the required ratio

The ratio of children in City C to the total population of City E is:

$\text{Ratio}=\frac{\text{Children in City C}}{\text{Total population of City E}}$

$\text{Ratio}=\frac{\frac{25}{3}\%\text{of}T}{12\%\text{of}T}=\frac{25}{3\times 12}=\frac{25}{36}$

Therefore, the required ratio is 25:36.