The total population of a city is 6500.The number of males and females increases by 5% and 10% respectively and consequently the population becomes 7000. Find the number of males in the village.

We are given that,
1) Total population of city = 6500
2) Increase in male and female population = 5% & 10% respectively.
3) Final population of city = 7000

Hence,
Let’s assume that number of males = x
Number of female = 6500 – x

Therefore, after an increase in 5% male and 10% female, the population becomes 7000
5% male +10% female = Difference between new and original population
⇒ (5/100)x + (10/100) (6500 - x) = 7000 - 6500
⇒ 5x + 65000 - 10x = 50000
⇒ 5x = 15000
⇒ x = 3000

Number of males = 3000
Number of females = 3500.