Question Details

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

Find the difference between sum of total population of B and C and total population of E?

Options

A

290

B

119

C

120

D

192

E

129

Show Answer

Correct Answer :

Option D

192

192

Solution :

The correct answer is 192.

Step 1: Analyze the given pie chart data.

From the provided pie chart image showing the population distribution across five cities (A, B, C, D, E):

Pie Chart

We are given:


Total Population=1200

The percentage share for each city is as follows:


City A=(2p+5)%


City B=8%


City C=p%


City D=15%


City E=12%

Step 2: Calculate the value of p.

The sum of all percentage sectors in a pie chart equals 100%:


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

Combining the terms:


3p+40=100


3p=100-40


3p=60


p=20

Step 3: Determine the percentages for cities B, C, and E.

Substituting p=20:


City B=8%


City C=20%


City E=12%

Sum of percentages of City B and City C:


Percentage of (B + C)=8%+20%=28%

Step 4: Compute the difference in population between (B + C) and E.

Difference in percentage:


Difference percentage=28%-12%=16%

Calculating 16% of the total population (1200):


Required Difference=16100×1200


Required Difference=16×12=192

Hence, the difference between the sum of the total population of B and C and the total population of E is 192.

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