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:

  1. A.

    3000

  2. B.

    4000

  3. C.

    5000

  4. 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।

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