Data Interpretation

Bar Graphs

Medium

The state of Panchagarh has 5 cities, whose population contributions are shown in the pie chart below. Figure for UGAT Bangalore 2025 Actual Paper QA question 18 (Data Interpretation) The bar graph below shows the percentage of males in each city of Panchagarh in 2016. These percentages do not change over time.

Assume the population of Panchagarh in 2016 was 1.5 lakh. In 2017, the population of city P increased by 15%, while that of city S increased by 20%. What is the ratio of the male population of city P to that of city S in 2017?

121 : 101

153 : 85

69 : 130

23 : 45

✅ Correct Option: 4

State total $= 150000$ in 2016. The male percentages stay fixed across years.

City	2016 population	Growth	2017 population	Male %	2017 male population
P	$0.20 \times 150000 = 30000$	+15%	$30000 \times 1.15 = 34500$	20%	$0.20 \times 34500 = 6900$
S	$0.15 \times 150000 = 22500$	+20%	$22500 \times 1.20 = 27000$	50%	$0.50 \times 27000 = 13500$

$\dfrac{6900}{13500} = \dfrac{69}{135} = \dfrac{23}{45}$

Question 15

Assume the population of city R was 96000 in 2016. Then, in percentage terms, by how much was it more than the male population of city T?

Question 16

Assume the population of Panchagarh in 2016 is 450000. Then the combined non-male population of cities P, Q and T is approximately what percent more/less than the combined male populations of cities R, S and T?

Question 17

Assume the total population of Panchagarh state in 2016 is 350000. Then find the average female population of cities P, Q, and S in 2016.

Assume the population of Panchagarh in 2016 was 1.5 lakh. In 2017, the population of city P increased by 15%, while that of city S increased by 20%. What is the ratio of the male population of city P to that of city S in 2017?

Solution

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