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

![Screenshot 2025-08-07 at 12.25.56 AM.png](https://res.cloudinary.com/aptidude/image/upload/v1754506579/aptidude_questions/bp11qxyjik7bd9rqn3to.png)

In city C, the ratio of males to females is $2:5$, and the ratio of females to children is $1:1$. Given the total populations of cities C and E are $240$ and $144$ respectively, what is the ratio of the number of children in city C to the total population of city E?

Question

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

![Screenshot 2025-08-07 at 12.25.56 AM.png](https://res.cloudinary.com/aptidude/image/upload/v1754506579/aptidude_questions/bp11qxyjik7bd9rqn3to.png)

In city C, the ratio of males to females is $2:5$, and the ratio of females to children is $1:1$. Given the total populations of cities C and E are $240$ and $144$ respectively, what is the ratio of the number of children in city C to the total population of city E?

Accepted Answer

**Solution:**

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

3p + 40 = 100

3p = 60

P = 20

Cities    Total Population

A          45% of 1200 = 540

B          8% of 1200 = 96

C       20% of 1200 = 240

D 15% of 1200 = 180

E 12% of 1200 = 144
1. Given the ratio of males to females in city C is $2:5$.

2. The ratio of females to children is $1:1$, so the number of children equals the number of females.

3. Therefore, the ratio of males : females : children is $2 : 5 : 5$.

4. Total parts = $2 + 5 + 5 = 12$ parts.

5. Total population of city C is $240$, so one part equals:
   $$\frac{240}{12} = 20$$

6. Number of children in city C = $5 	imes 20 = 100$.

7. Total population of city E is given as $144$.

8. Required ratio of children in city C to total population of city E:
   $$100 : 144 = 25 : 36$$

**Answer:** $25 : 36$

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