The population of a town is 9000. If the males increase by 5% and females by…
2022
The population of a town is 9000. If the males increase by 5% and females by 8%, the population would be 9600 in a year. The number of males is:
- A.
3000
- B.
4000
- C.
5000
- D.
5600
Attempted by 106 students.
Show answer & explanation
Correct answer: B
Let the number of males be x and the number of females be y.
From the problem, we have:
x + y = 9000 (1)
After a year, the population increases to 9600:
1.05x + 1.08y = 9600 (2)
From equation (1), y = 9000 - x.
Substitute y in equation (2):
1.05x + 1.08(9000 - x) = 9600
1.05x + 9720 - 1.08x = 9600
-0.03x = -120
x = 4000
Therefore, the number of males is 4000.
हिन्दी उत्तर:
माना पुरुषों की संख्या x है और महिलाओं की संख्या y है।
समस्या के अनुसार, हमारे पास है:
x + y = 9000 (1)
एक वर्ष बाद, जनसंख्या 9600 हो जाती है:
1.05x + 1.08y = 9600 (2)
समीकरण (1) से, y = 9000 - x.
समीकरण (2) में y का मान रखने पर:
1.05x + 1.08(9000 - x) = 9600
1.05x + 9720 - 1.08x = 9600
-0.03x = -120
x = 4000
इसलिए, पुरुषों की संख्या 4000 है।