1. **Problem Statement:** (அ) Find the number of Singaporeans among the population. (ஆ) Find the number of school non-attending children in the given age group. (வ) Given 55% of males are Tamils, 30% are Muslims, and the rest are Singaporeans, find: - (அ) Number of Singaporeans. - (ஆ) Difference between the number of Tamils and Muslims. (vi) If 3/5 of the population are government employees, find the number of non-government employees. Also, for the "கங்காபுரம்" group of 4800 people: (1) Percentage of males. (11) Percentage of females. (111) Number of males. (1V) Given 5 males and 13 females total 960, which is 7.5% of the population, find the total population. 2. **Formulas and Rules:** - Percentage formula: $$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$$ - To find part from percentage: $$\text{Part} = \frac{\text{Percentage}}{100} \times \text{Whole}$$ - Difference between two quantities: $$|A - B|$$ - Total population calculations use sums and proportions. 3. **Step-by-step Solutions:** **(அ) Singaporean count:** Given males: 55% Tamil, 30% Muslim, rest Singaporean. Total males percentage = 100% Singaporean males percentage = $$100\% - 55\% - 30\% = 15\%$$ If total population is $N$, number of Singaporean males = $$0.15 \times N$$ **(ஆ) School non-attending children:** Not explicitly given, so cannot calculate without data. **(வ) Difference between Tamil and Muslim males:** Tamil males = $$0.55 \times N$$ Muslim males = $$0.30 \times N$$ Difference = $$|0.55N - 0.30N| = 0.25N$$ **(vi) Non-government employees:** Government employees = $$\frac{3}{5} \times N = 0.6N$$ Non-government employees = $$N - 0.6N = 0.4N$$ **For "கங்காபுரம்" group (total 4800):** (1) Percentage of males = 42% (given) (11) Percentage of females = $$100\% - 42\% = 58\%$$ (111) Number of males = $$0.42 \times 4800 = 2016$$ (1V) Given 5 males + 13 females = 18 people correspond to 960 people which is 7.5% of total. Let total population = $T$ $$7.5\% \times T = 960 \Rightarrow T = \frac{960}{0.075} = 12800$$ 4. **Summary:** - Singaporean males = $$0.15N$$ - Difference Tamil-Muslim males = $$0.25N$$ - Non-government employees = $$0.4N$$ - In "கங்காபுரம்": - Males = 2016 - Females = 2784 - Total population from given data = 12800 **Note:** Some values depend on total population $N$ which is not explicitly given for the first set.