Question Details

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

Out of the total population of all the cities 35% are females and 55% of the total population of city D are females. Total females in all the cities except D is how many more/ less than total population of A.

Options

A

200

B

219

C

220

D

230

E

229

Show Answer

Correct Answer :

Option B

219

219

Solution :

Correct Answer: 219

Based on the provided pie chart, we have the following data:

Image

Total Population of all five cities = 1200
Percentage distribution of population across cities:
City A = (2p + 5)%
City B = 8%
City C = p%
City D = 15%
City E = 12%

Step 1: Find the value of p.
The sum of the percentage shares of all five cities in a pie chart must equal 100%:
(2p+5)+8+p+15+12=100
3p+40=100
3p=60
p=20

Step 2: Calculate the total population of City A.
Percentage share of City A = (2p+5)%=(2×20+5)%=45%
Total population of City A = 45100×1200=540

Step 3: Calculate total females in all cities.
Given that 35% of the total population of all cities are females:
Total females in all cities = 35100×1200=420

Step 4: Calculate females in City D.
Population of City D = 15100×1200=180
Given that 55% of the total population of City D are females:
Females in City D = 55100×180=99

Step 5: Calculate total females in all cities except City D.
Females in all cities except D = Total females in all cities - Females in City D
420-99=321

Step 6: Calculate the required difference.
Difference between total population of City A and total females in all cities except D:
540-321=219
Therefore, the total females in all cities except D is 219 less than the total population of City A.

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