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

Show Answer

Correct Answer :

Option B

219

219

Solution :

From the given pie chart, the total population is 1200. First, we determine the value of p by summing up the percentages of all five cities:

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

Simplifying the equation:
3p+40=100
3p=60
p=20

Using p=20, we can find the population distribution for the relevant cities:
City A's percentage = 2(20)+5=45%
Total population of City A = 45% of 1200=0.45×1200=540
Total population of City D = 15% of 1200=0.15×1200=180

Next, we calculate the number of females:
Total females across all cities (35% of total population):
Total Females=35% of 1200=0.35×1200=420

Females in City D (55% of City D's population):
Females in D=55% of 180=0.55×180=99

Therefore, the total number of females in all cities except City D is:
420-99=321

To find how many more or less these females are compared to the total population of City A:
Difference=540-321=219

Thus, the total number of females in all cities except D is 219 less than the total population of A.

The correct option is 219.

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