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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 16 (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. Figure for UGAT Bangalore 2025 Actual Paper QA question 16 (Data Interpretation)

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?

Solution

✅ Correct Option: 3

State total =450000= 450000. Non-male share of a city =100%−male %= 100\% - \text{male }\%.

Non-male population of P, Q, T

CityCity populationNon-male %Non-male population
P0.20×450000=900000.20 \times 450000 = 9000080%72,00072{,}000
Q0.28×450000=1260000.28 \times 450000 = 12600035%44,10044{,}100
T0.12×450000=540000.12 \times 450000 = 5400040%21,60021{,}600
Total137,700\mathbf{137{,}700}

Male population of R, S, T

CityCity populationMale %Male population
R0.25×450000=1125000.25 \times 450000 = 11250045%50,62550{,}625
S0.15×450000=675000.15 \times 450000 = 6750050%33,75033{,}750
T0.12×450000=540000.12 \times 450000 = 5400060%32,40032{,}400
Total116,775\mathbf{116{,}775}

Since the first total is larger, it is more:

137700−116775116775×100=20925116775×100≈17.9%≈18%\frac{137700 - 116775}{116775} \times 100 = \frac{20925}{116775} \times 100 \approx 17.9\% \approx 18\%

Answer: 18%, More


Note: the value 450000 is not actually needed — it cancels. Working purely in percentage points of the state: (16+9.8+4.8)=30.6(16 + 9.8 + 4.8) = 30.6 against (11.25+7.5+7.2)=25.95(11.25 + 7.5 + 7.2) = 25.95, giving 4.6525.95×100≈18%\frac{4.65}{25.95} \times 100 \approx 18\%.

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