SarkariPYQ

SSC CGL 2023 PYQ — Question 72

SSC CGL - 26 Jul 2023 - Shift 1 • Quantitative Aptitude • Q72

Back to paper

The following table shows the percentage of population of five states below poverty line and the proportion of males and females below and above poverty line.

State

Percentage of Population Below Poverty Line

Proportion of Males and Females

Below Poverty Line

Above Poverty Line

Males : Females

Males : Females

A

25%

7 : 3

1 : 5

B

13%

8 : 5

1 : 7

C

26%

9 : 4

2 : 11

D

11%

4 : 3

13 : 4

E

17%

5 : 9

3 : 2

If the population of State B and State C is 6,000 each, then what is the total number of females below poverty line in these two states?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 780.

Given that, population of state B = 6000

Population of state C = 6000

According to the given table,

For state B,

Population of state B which is below poverty line = 13% of 6000

⇒ 13100×6000{13 \over 100} \times 6000 = 780

The ratio of male to female below poverty line for state B = 8 : 5

Number of females below poverty line in state B = 513×780{5 \over 13} \times 780

⇒ 5 × 60 = 300

Now for state C,

Population of state C which is below poverty line = 26% of 6000

⇒ 26100×6000{26 \over 100} \times 6000 = 1560

The ratio of male to female below poverty line for state C = 9 : 4

Number of females below poverty line in state C = 413×1560{4 \over 13} \times 1560

⇒ 4 × 120 = 480

Now, the total number of females below poverty line in states B and C = 300 + 480 = 780

Hence the required answer is 780.