Present population of town is 35000 having males and females. If the…
2025
Present population of town is 35000 having males and females. If the population of males is increased by 6% and if the population of females is increased by 4%, then after 1 year the population becomes 36,700. Find the number of males and females ?
- A.
15000, 20000
- B.
20000, 15000
- C.
25000, 20000
- D.
12000, 24000
Attempted by 20 students.
Show answer & explanation
Correct answer: A
Let the number of males be x and females be 35000 − x.
After a 6% increase in males and a 4% increase in females, the total becomes:
1.06x + 1.04(35000 − x) = 36700
Expand and simplify:
1.06x + 36400 − 1.04x = 36700
Combine like terms:
0.02x + 36400 = 36700
Subtract 36400 from both sides:
0.02x = 300
Divide by 0.02:
x = 300 / 0.02 = 15000
Therefore the number of males is 15000 and the number of females is 20000.