   The following pie – chart shows the percentage distribution of total population of six cities, and the table shows the percentage of males among them. (Total population of City F = 1526000). City % Male A 51.1% B 53.2% C 52.9% D 53.8% E 47.9% F 49.2%

Important for :
1
What is the total number of females in City A?
» Explain it
A
 Total number of people in all six cities = 1526000 × 100 21.8
= 7000000
 ∴ Total population of City A = 7000000 × 21 = 1470000 100

 Male A=1470000 × 51.1 = 751170 100

∴ Female A = 1470000 – 751170 = 718830

Hence, option (A) is correct.

2
What is the difference between the male and the female population of City B?
» Explain it
C
 TotalB = 7000000 × 10.6 = 742000 100

∵ Males are 53.2%, so females

= 100 – 53.2 = 46.8%

∴ Diff = 53.2 – 46.8 = 6.4%

 ∴ Reqd difference = 742000 × 6.4 = 47488 100

Hence, option (C) is correct.

3
The female population of City F is approximately what percentage of the female population of City E?
» Explain it
D
 Female F = 7000000 × 21.8 × 100 – 49.2 100 100

= 700 × 21.8 × 50.8 = 775208

 Female E = 7000000 × 7.5 × 100 – 47.9 100 100

= 700 × 7.5 × 52.1 = 273525

 ∴ Reqd% = 775208 × 100 = 283.4 ≈ 283.5% 273525

Hence, option (D) is correct.

4
What is the total number of males in all six cities together?
» Explain it
B
Total males = (7000000/100 × 100) × {21 × 51.1 + 10.6 × 53.2 + 23.7 × 52.9 + 15.4 × 53.8 + 7.5 × 47.9 + 21.8 × 49.2}

 = 7000000 {1073.1 + 563.92 + 1253.73 + 828.52 + 359.25 + 1072.56} 100 × 100

= 700 × 5151.08 = 3605756

Hence, option (B) is correct.
5
The total number of females in all six cities together is what percent of the total population of all six cities together? (Answer in approximate value)
» Explain it
C
Total population in all six cities = 7000000

Total females in all six cities = 7000000 – 3605756 = 3394244

 ∴ Reqd % = 3394244 × 100 7000000

= 48.489 ≈ 48.5%

Hence, option (C) is correct.