The total numbers of males and females in a town is 70,000. If the numberof 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. Whatis the difference between the
numberof males and females in the town, in the beginning?
This questions was previously asked in
SSC CPO 11th Dec 2019 Shift-2
Explanation:
- Let's denote the number of males as M and females as F.
- We have the equation: M + F = 70,000.
- When males increase by 6%, we have 1.06M.
- When females increase by 4%, we have 1.04F.
- The total new population becomes 1.06M + 1.04F = 73,520.
To find the difference:
- From M + F = 70,000, we can express F as F = 70,000 - M.
- Substitute F in the new population equation:
- 1.06M + 1.04(70,000 - M) = 73,520.
- 1.06M + 72,800 - 1.04M = 73,520.
- 0.02M = 720.
- M = 36,000.
- Then, F = 70,000 - 36,000 = 34,000.
- So, the difference is |36,000 - 34,000| = 2,000.
- Option:3 - 2000 is the correct answer.
![]()
By: santosh