The total numbers of males and females in a town is 70,000. If the number of males is increased by 6% and that of the females is increased by 4%, then the total numbers of males and females in the town would become 73520. What is the difference between the number of males and females in the town, in the beginning?
Answer & explanation
Correct answer: option 1
Let the number of males = M
Numbers of females = (70000 – M)
Total increment in population = 73520 – 70000 = 3520
ATQ,
M × \(\frac{6}{100}\) + (70000 – M) × \(\frac{4}{100}\) = 3520
M × \(\frac{3}{50}\) + (70000 – M) × \(\frac{1}{25}\) = 3520
3M + 140000 - 2M = 176000
M = 36000
So , Number of males = 36000
Number of females = 70000 – 36000 = 34000
Required difference = 36000 – 34000 = 2000